What is the Least Common Multiple of 4728 and 4737?

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 4728 and 4737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4728 and 4737, than apply into the LCM equation.

GCF(4728,4737) = 3
LCM(4728,4737) = ( 4728 × 4737) / 3
LCM(4728,4737) = 22396536 / 3
LCM(4728,4737) = 7465512

Least Common Multiple (LCM) of 4728 and 4737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4728 and 4737. First we will calculate the prime factors of 4728 and 4737.

Prime Factorization of 4728

Prime Factorization of 4737

Now multiplying the highest exponent prime factors to calculate the LCM of 4728 and 4737.

LCM(4728,4737) = 2³ × 3¹ × 197¹ × 1579¹
LCM(4728,4737) = 7465512