What is the Least Common Multiple of 54732 and 54741?

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 54732 and 54741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54732 and 54741, than apply into the LCM equation.

GCF(54732,54741) = 3
LCM(54732,54741) = ( 54732 × 54741) / 3
LCM(54732,54741) = 2996084412 / 3
LCM(54732,54741) = 998694804

Least Common Multiple (LCM) of 54732 and 54741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54732 and 54741. First we will calculate the prime factors of 54732 and 54741.

Prime Factorization of 54732

Prime Factorization of 54741

Now multiplying the highest exponent prime factors to calculate the LCM of 54732 and 54741.

LCM(54732,54741) = 2² × 3¹ × 4561¹ × 71¹ × 257¹
LCM(54732,54741) = 998694804