What is the Least Common Multiple of 38712 and 38728?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 38712 and 38728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38712 and 38728, than apply into the LCM equation.

GCF(38712,38728) = 8
LCM(38712,38728) = ( 38712 × 38728) / 8
LCM(38712,38728) = 1499238336 / 8
LCM(38712,38728) = 187404792

Least Common Multiple (LCM) of 38712 and 38728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38712 and 38728. First we will calculate the prime factors of 38712 and 38728.

Prime Factorization of 38712

Prime Factorization of 38728

Now multiplying the highest exponent prime factors to calculate the LCM of 38712 and 38728.

LCM(38712,38728) = 2³ × 3¹ × 1613¹ × 47¹ × 103¹
LCM(38712,38728) = 187404792