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How do you find the least common multiple of two numbers using prime factorization?
Factor the two (or more) numbers into their primes and write each prime with its exponent (power). Now to find the LCM, take the highest power of each prime that occurs in either of the two (or more) prime factorizatons and multiply them. The product is the LCM.
for example:
45=(3^2)(5)
50=2(5^2)
So the highest power of 2 is 2^1, the highest power of 3 is 3^2, and the highest power of 5 is 5^1
The LCM is the product of these. So it is 2x5^2x3^2.
For those primes not in either factorization, the highest power is 0, for example in our two numbers we have 13^0=1
What else can I help you with?
What is the least common multiple of 130 using prime factorization?
There is not a least common multiple of a single number, such as 130, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common.
What is the least common multiple of 28 using prime factorization?
You need at least two numbers to find an LCM.
What method would you use to find the least common multiple of a group of four numbers?
Prime factorization.
What is the prime factorization with Lcm of 20 and 37?
The LCM of these numbers is 740. LCM is Least Common Multiple.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?
If the prime factorizations have no factors in common, the LCM is the product of them.
What is the least common multiple of 8 and 242 using prime factorization?
The Least Common Multiple of 8, 242 is 968.
What is the least common multiple of 75 and 105 using prime factorization?
The Least Common Multiple of 75, 105 is 525.
What is the least common multiple of the numbers 2357and 11?
The least common multiple of the numbers 2,357 and 11 is 25,927.The least common multiple of the numbers 23, 57 and 11 is 14,421.
When is the least common multiple one of itself?
The least common multiple is one of the numbers when one of the numbers is a multiple of the other.
Name numbers that least common multiple is the same as its factor?
All numbers with a least common multiple, have that multiple as a factor.
What is the least common multiple other than 0 common to sets of multiples?
The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers in the set. For sets of multiples, the LCM is the smallest number that is a multiple of all the numbers in the sets. The LCM can be calculated by finding the prime factorization of each number and then taking the highest power of each prime factor that appears in any of the numbers.
What is the least common multiple of 210 and 90?
The least common multiple of the numbers 210 and 90 is 630.
