What is the Least Common Multiple of 53121 and 53136?

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 53121 and 53136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53121 and 53136, than apply into the LCM equation.

GCF(53121,53136) = 3
LCM(53121,53136) = ( 53121 × 53136) / 3
LCM(53121,53136) = 2822637456 / 3
LCM(53121,53136) = 940879152

Least Common Multiple (LCM) of 53121 and 53136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53121 and 53136. First we will calculate the prime factors of 53121 and 53136.

Prime Factorization of 53121

Prime Factorization of 53136

Now multiplying the highest exponent prime factors to calculate the LCM of 53121 and 53136.

LCM(53121,53136) = 3⁴ × 17707¹ × 2⁴ × 41¹
LCM(53121,53136) = 940879152