What is the Least Common Multiple of 59484 and 59493?

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 59484 and 59493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59484 and 59493, than apply into the LCM equation.

GCF(59484,59493) = 3
LCM(59484,59493) = ( 59484 × 59493) / 3
LCM(59484,59493) = 3538881612 / 3
LCM(59484,59493) = 1179627204

Least Common Multiple (LCM) of 59484 and 59493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59484 and 59493. First we will calculate the prime factors of 59484 and 59493.

Prime Factorization of 59484

Prime Factorization of 59493

Now multiplying the highest exponent prime factors to calculate the LCM of 59484 and 59493.

LCM(59484,59493) = 2² × 3¹ × 4957¹ × 7¹ × 2833¹
LCM(59484,59493) = 1179627204