What is the Least Common Multiple of 88624 and 88641?

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 88641 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 88641, than apply into the LCM equation.

GCF(88624,88641) = 1
LCM(88624,88641) = ( 88624 × 88641) / 1
LCM(88624,88641) = 7855719984 / 1
LCM(88624,88641) = 7855719984

Least Common Multiple (LCM) of 88624 and 88641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88624 and 88641. First we will calculate the prime factors of 88624 and 88641.

Prime Factorization of 88624

Prime Factorization of 88641

Now multiplying the highest exponent prime factors to calculate the LCM of 88624 and 88641.

LCM(88624,88641) = 2⁴ × 29¹ × 191¹ × 3³ × 7² × 67¹
LCM(88624,88641) = 7855719984