What is the Least Common Multiple of 54639 and 54651?

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 54639 and 54651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54639 and 54651, than apply into the LCM equation.

GCF(54639,54651) = 3
LCM(54639,54651) = ( 54639 × 54651) / 3
LCM(54639,54651) = 2986075989 / 3
LCM(54639,54651) = 995358663

Least Common Multiple (LCM) of 54639 and 54651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54639 and 54651. First we will calculate the prime factors of 54639 and 54651.

Prime Factorization of 54639

Prime Factorization of 54651

Now multiplying the highest exponent prime factors to calculate the LCM of 54639 and 54651.

LCM(54639,54651) = 3² × 13¹ × 467¹ × 18217¹
LCM(54639,54651) = 995358663