What is the Least Common Multiple of 53456 and 53472?

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 53456 and 53472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53456 and 53472, than apply into the LCM equation.

GCF(53456,53472) = 16
LCM(53456,53472) = ( 53456 × 53472) / 16
LCM(53456,53472) = 2858399232 / 16
LCM(53456,53472) = 178649952

Least Common Multiple (LCM) of 53456 and 53472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53456 and 53472. First we will calculate the prime factors of 53456 and 53472.

Prime Factorization of 53456

Prime Factorization of 53472

Now multiplying the highest exponent prime factors to calculate the LCM of 53456 and 53472.

LCM(53456,53472) = 2⁵ × 13¹ × 257¹ × 3¹ × 557¹
LCM(53456,53472) = 178649952