What is the Least Common Multiple of 53256 and 53271?

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 53256 and 53271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53256 and 53271, than apply into the LCM equation.

GCF(53256,53271) = 3
LCM(53256,53271) = ( 53256 × 53271) / 3
LCM(53256,53271) = 2837000376 / 3
LCM(53256,53271) = 945666792

Least Common Multiple (LCM) of 53256 and 53271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53256 and 53271. First we will calculate the prime factors of 53256 and 53271.

Prime Factorization of 53256

Prime Factorization of 53271

Now multiplying the highest exponent prime factors to calculate the LCM of 53256 and 53271.

LCM(53256,53271) = 2³ × 3³ × 7¹ × 317¹ × 1973¹
LCM(53256,53271) = 945666792