What is the Least Common Multiple of 87139 and 87152?

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 87139 and 87152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87139 and 87152, than apply into the LCM equation.

GCF(87139,87152) = 13
LCM(87139,87152) = ( 87139 × 87152) / 13
LCM(87139,87152) = 7594338128 / 13
LCM(87139,87152) = 584179856

Least Common Multiple (LCM) of 87139 and 87152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87139 and 87152. First we will calculate the prime factors of 87139 and 87152.

Prime Factorization of 87139

Prime Factorization of 87152

Now multiplying the highest exponent prime factors to calculate the LCM of 87139 and 87152.

LCM(87139,87152) = 13¹ × 6703¹ × 2⁴ × 419¹
LCM(87139,87152) = 584179856