What is the Least Common Multiple of 38596 and 38616?

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 38596 and 38616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38596 and 38616, than apply into the LCM equation.

GCF(38596,38616) = 4
LCM(38596,38616) = ( 38596 × 38616) / 4
LCM(38596,38616) = 1490423136 / 4
LCM(38596,38616) = 372605784

Least Common Multiple (LCM) of 38596 and 38616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38596 and 38616. First we will calculate the prime factors of 38596 and 38616.

Prime Factorization of 38596

Prime Factorization of 38616

Now multiplying the highest exponent prime factors to calculate the LCM of 38596 and 38616.

LCM(38596,38616) = 2³ × 9649¹ × 3¹ × 1609¹
LCM(38596,38616) = 372605784