What is the Least Common Multiple of 54712 and 54732?

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 54712 and 54732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54712 and 54732, than apply into the LCM equation.

GCF(54712,54732) = 4
LCM(54712,54732) = ( 54712 × 54732) / 4
LCM(54712,54732) = 2994497184 / 4
LCM(54712,54732) = 748624296

Least Common Multiple (LCM) of 54712 and 54732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54712 and 54732. First we will calculate the prime factors of 54712 and 54732.

Prime Factorization of 54712

Prime Factorization of 54732

Now multiplying the highest exponent prime factors to calculate the LCM of 54712 and 54732.

LCM(54712,54732) = 2³ × 7¹ × 977¹ × 3¹ × 4561¹
LCM(54712,54732) = 748624296