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Yes, the least common multiple (LCM) of a Prime number and a composite number will always be a multiple of the prime number. This is because the LCM is the smallest number that is a multiple of both numbers. Since the prime number is a factor of itself and the LCM is a multiple of both numbers, the LCM will always be a multiple of the prime number.

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3mo ago

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What is the least common multiple of 20 and 41?

LCM of a prime number and a composite number is always equal to their product if the composite number is not a multiple of the prime number. Here, 41 is a prime number and 20 is a composite number. Therefore LCM(20,41) = 20 x 41 = 820


What is the least common multiple of 27 and B?

LCM of 27 & 5 = 27 x 5 = 135. LCM of a prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number.


How do you find the LCM of 2 numbers if one number is prime?

If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.


How do you find the LCM of a composite number?

You need at least two numbers to find an LCM. It doesn't matter whether they are prime or composite.


What number has a prime greatest common factor and a LCM that is composite?

There can be no such number.The GCF and LCM are numbers which are COMMON to two or more integers. A single number has nothing else to have something in common with. The greatest factor and the least multiple of any single number is itself and so the question requires a number which is prime (GCF) and composite (LCM). Clearly, such a number cannot exist.


What is the least common multiple of 2 5 and 14?

LCM of a prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number. Here, 14 is not a multiple of 23. So, LCM of 14 & 23 = 14x23 = 322


How do you find the least common multiple that are prime?

The LCM of a set of prime numbers is their product.


Can you find the least common multiple in prime number?

The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. If you have only one number - whether or not it is a prime - you cannot have a least COMMON multiple.


What is the least common multiple of 23 and 92?

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 23 and 92, we first need to find the prime factorization of each number. The prime factorization of 23 is 23, as it is a prime number. The prime factorization of 92 is 2^2 * 23. To find the LCM, we take the highest power of each prime factor that appears in either number, so the LCM of 23 and 92 is 2^2 * 23 = 92.


What is the LCM number if one number is a multiply of the other?

The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly


What is the lcm of 5 and 49?

LCM of a prime number and a composite number is equal to their product if the latter is not divisible by the former. 5 is a prime number and 49 is a composite number. 49 is not divisible by 5. So, LCM(5,49) = 5 x 49 = 245. Actually the reason behind this is that both(5 and 49) do not share any common factors except 1, so the LCM is equal to the product.


What is the LCM for 14 and 7?

The Least Common Multiple (LCM) of 7 and 14 is 14.