What is the Least Common Multiple of 88518 and 88538?

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 88518 and 88538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88518 and 88538, than apply into the LCM equation.

GCF(88518,88538) = 2
LCM(88518,88538) = ( 88518 × 88538) / 2
LCM(88518,88538) = 7837206684 / 2
LCM(88518,88538) = 3918603342

Least Common Multiple (LCM) of 88518 and 88538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88518 and 88538. First we will calculate the prime factors of 88518 and 88538.

Prime Factorization of 88518

Prime Factorization of 88538

Now multiplying the highest exponent prime factors to calculate the LCM of 88518 and 88538.

LCM(88518,88538) = 2¹ × 3¹ × 14753¹ × 44269¹
LCM(88518,88538) = 3918603342