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What is the least common multiple of 12 and 16?
The least common multiple of 12 and 16 is 48The prime factorization of 12 is 2 x 2 x 3The prime factorization of 16 is 2 x 2 x 2 x 2The LCM of 16,12 is: 2 x 2 x 2 x 2 x 3 = 4848The Least Common Multiple (LCM) for 12 16 is 48.
What is the least common multiple of 35 and 45?
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 35 and 45, you first need to find the prime factorization of each number: 35 = 5 x 7 and 45 = 3 x 3 x 5. Then, you identify the common and uncommon prime factors and multiply them together to get the LCM. In this case, the LCM of 35 and 45 is 3 x 3 x 5 x 7 = 315.
What is the least common multiple of 18 and 20?
The LCM of 18 and 20 is 180 Using factorisation method: 18 = 2 x 3² 20 = 2² x 5 lcm = 2² x 3² x 5 = 180
What is the Least Common Multiple of 12 and 40?
LCM is 120, which is the multiple of the highest power of prime factors in the given numbers (2^3 x 3 x 5).Least Common Multiple (LCM) for 12 40 is 120
What is the least common multiple of 14 and 15?
The LCM of 15 and 14 is 210, which is the multiple of the combined prime factors of both numbers (2 x 3 x 5 x 7). Since 14 and 15 have no common factors, the LCM is going to be 15*14=210.The Least Common Multiple (LCM) for 15 14 is 210.
What is the LCM of x and y is a multiple of x?
If y is a multiple of x, the LCM of x and y is y.
What is the LCM of 48 and 96?
LCM of x and y is y if y is a multiple of x. 96 is a multiple of 48, so LCM(48,96) = 96.
If x is multiple of y the lcm of x and y is?
X,
Which two numbers will have a greater greatest common factor than the least common multiple?
There cannot be any such numbers. Suppose you have the numbers X and Y, and without loss of generality, assume that X ≤ Y. Then GCF(X, Y) is a factor of X and of Y. Therefore, GCF ≤ X which is ≤ Y also LCM(X, Y) is a multiple of X and of Y. Therefore, LCM ≥ Y which is ≥ X Combining the inequalities gives GCF ≤ X ≤ Y ≤ LCM and so GCF ≤ LCM. That is, the GCF cannot possibly be greater than LCM.
What is the least common multiple of 50 and 80?
If x is the multiple of y then LCM of x and y is x. Here, 80 is the multiple of 10 therefore LCM of 10 & 80 is 80.
What is the least common multiple of 16 and 72?
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 4 and 42 is 84.
What is the what is the LCM of Y Y and Y?
It is: x times y or as xy
What it the LCM of two numbers whose sum is 40 and whose difference is 10?
If the numbers are x and y then x + y = 40 x - y = 10 so x = 25, y = 15 Then LCM(x, y) = LCM(25, 15) = 75
What is the LCM of x and 2x when x is a nonzero whole number?
The Least Common Multiple (LCM) of x and 2x is the smallest multiple that is divisible by both x and 2x. Since 2x is a multiple of x, the LCM is simply 2x. This is because any multiple of x will also be a multiple of 2x, making 2x the smallest common multiple of x and 2x.
How do you find the LCM and GCF of two prime numbers?
The GCF of any two prime numbers is 1 and the LCM is their product.
What is the LCM for 8x 18xy?
To find the least common multiple (LCM) of 8x and 18xy, we need to identify the highest power of each prime factor that appears in either number. The prime factors of 8x are 2 and x, while the prime factors of 18xy are 2, 3, x, and y. The LCM is the product of the highest power of each prime factor: 2^3 * 3^1 * x^1 * y^1 = 24xy. Therefore, the LCM for 8x and 18xy is 24xy.
Can you find the least common multiple of two prime numbers?
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
