What is the Least Common Multiple of 52710 and 52728?

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 52710 and 52728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52710 and 52728, than apply into the LCM equation.

GCF(52710,52728) = 6
LCM(52710,52728) = ( 52710 × 52728) / 6
LCM(52710,52728) = 2779292880 / 6
LCM(52710,52728) = 463215480

Least Common Multiple (LCM) of 52710 and 52728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52710 and 52728. First we will calculate the prime factors of 52710 and 52728.

Prime Factorization of 52710

Prime Factorization of 52728

Now multiplying the highest exponent prime factors to calculate the LCM of 52710 and 52728.

LCM(52710,52728) = 2³ × 3¹ × 5¹ × 7¹ × 251¹ × 13³
LCM(52710,52728) = 463215480