What is the Least Common Multiple of 88624 and 88640?

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 88624 and 88640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88624 and 88640, than apply into the LCM equation.

GCF(88624,88640) = 16
LCM(88624,88640) = ( 88624 × 88640) / 16
LCM(88624,88640) = 7855631360 / 16
LCM(88624,88640) = 490976960

Least Common Multiple (LCM) of 88624 and 88640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88624 and 88640. First we will calculate the prime factors of 88624 and 88640.

Prime Factorization of 88624

Prime Factorization of 88640

Now multiplying the highest exponent prime factors to calculate the LCM of 88624 and 88640.

LCM(88624,88640) = 2⁶ × 29¹ × 191¹ × 5¹ × 277¹
LCM(88624,88640) = 490976960