What is the Least Common Multiple of 89115 and 89128?

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 89115 and 89128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89115 and 89128, than apply into the LCM equation.

GCF(89115,89128) = 13
LCM(89115,89128) = ( 89115 × 89128) / 13
LCM(89115,89128) = 7942641720 / 13
LCM(89115,89128) = 610972440

Least Common Multiple (LCM) of 89115 and 89128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89115 and 89128. First we will calculate the prime factors of 89115 and 89128.

Prime Factorization of 89115

Prime Factorization of 89128

Now multiplying the highest exponent prime factors to calculate the LCM of 89115 and 89128.

LCM(89115,89128) = 3¹ × 5¹ × 13¹ × 457¹ × 2³ × 857¹
LCM(89115,89128) = 610972440