What is the Least Common Multiple of 88926 and 88938?

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 88926 and 88938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88926 and 88938, than apply into the LCM equation.

GCF(88926,88938) = 6
LCM(88926,88938) = ( 88926 × 88938) / 6
LCM(88926,88938) = 7908900588 / 6
LCM(88926,88938) = 1318150098

Least Common Multiple (LCM) of 88926 and 88938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88926 and 88938. First we will calculate the prime factors of 88926 and 88938.

Prime Factorization of 88926

Prime Factorization of 88938

Now multiplying the highest exponent prime factors to calculate the LCM of 88926 and 88938.

LCM(88926,88938) = 2¹ × 3⁶ × 14821¹ × 61¹
LCM(88926,88938) = 1318150098