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Is the LCM of a prime number and a composite number a multiple of the prime number?
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.
What is the LCM for 14 and 7?
The Least Common Multiple (LCM) of 7 and 14 is 14.
What is least common multiple of 11 and 12?
The least common multiple (LCM) of 11 and 12 is actually 11x12 = 132 This is because 11 is a prime number so has no common factors with 12
What is the least common multiple of 7 8 and 13?
The least common multiple (LCM) of 7, 8, and 13 is the smallest multiple that all three numbers share. To find the LCM, you first need to find the prime factorization of each number: 7 is a prime number, 8 = 2^3, and 13 is also a prime number. Then, you take the highest power of each prime factor that appears in any of the numbers, which gives you 2^3 * 7 * 13 = 364. Therefore, the least common multiple of 7, 8, and 13 is 364.
What is the least common multiple of 11 28 2?
Since 11 is a prime number and does not evenly go into 28 or 2, then the least and only common denominator is 1.
