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What is the Least common multiple of 44 and 28?

 Jan 26, 2016
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Find the least common multiple:
lcm(44, 28)
Find the prime factorization of each integer:
The prime factorization of 44 is:
44 = 2^2×11
The prime factorization of 28 is:
28 = 2^2×7
Find the largest power of each prime factor.
The largest power of 2 that appears in the prime factorizations is 2^2.
The largest power of 7 that appears in the prime factorizations is 7^1.
The largest power of 11 that appears in the prime factorizations is 11^1.
Therefore lcm(44, 28) = 2^2×7^1×11^1:
Answer: | lcm(44, 28= 308)

 Jan 26, 2016

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