What is the Least Common Multiple of 58728 and 58737?

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 58728 and 58737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58728 and 58737, than apply into the LCM equation.

GCF(58728,58737) = 3
LCM(58728,58737) = ( 58728 × 58737) / 3
LCM(58728,58737) = 3449506536 / 3
LCM(58728,58737) = 1149835512

Least Common Multiple (LCM) of 58728 and 58737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58728 and 58737. First we will calculate the prime factors of 58728 and 58737.

Prime Factorization of 58728

Prime Factorization of 58737

Now multiplying the highest exponent prime factors to calculate the LCM of 58728 and 58737.

LCM(58728,58737) = 2³ × 3¹ × 2447¹ × 7¹ × 2797¹
LCM(58728,58737) = 1149835512