What is the Least Common Multiple of 52728 and 52746?

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 52728 and 52746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52728 and 52746, than apply into the LCM equation.

GCF(52728,52746) = 6
LCM(52728,52746) = ( 52728 × 52746) / 6
LCM(52728,52746) = 2781191088 / 6
LCM(52728,52746) = 463531848

Least Common Multiple (LCM) of 52728 and 52746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52728 and 52746. First we will calculate the prime factors of 52728 and 52746.

Prime Factorization of 52728

Prime Factorization of 52746

Now multiplying the highest exponent prime factors to calculate the LCM of 52728 and 52746.

LCM(52728,52746) = 2³ × 3¹ × 13³ × 59¹ × 149¹
LCM(52728,52746) = 463531848