Lowest Common Multiple Help

L.C.M. of 38 and 72?

Find the least common multiple:
lcm(38, 72)
Find the prime factorization of each integer:
The prime factorization of 38 is:
38 = 2×19
The prime factorization of 72 is:
72 = 2^3×3^2
Find the largest power of each prime factor.
The largest power of 2 that appears in the prime factorizations is 2^3.
The largest power of 3 that appears in the prime factorizations is 3^2.
The largest power of 19 that appears in the prime factorizations is 19^1.
Therefore lcm(38, 72) = 2^3×3^2×19^1:
Answer: |lcm(38, 72) = 1368

What is the L.C.M. of 38 and 72?

factor(38) = 2*19         = 2   *19

factor(72) = 2^3*3^2    =2    *2*2*3*3

Lowest common multple is    2 (only needs to be included once because it is a factor of both) * 19*2*2*3*3

2*19*2*2*3*3 = 1368

LCM is equal to 38*72/gcd (38,72). So, 2,736 / 2 = 1,368.