What is the Least Common Multiple of 58920 and 58926?

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 58920 and 58926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58920 and 58926, than apply into the LCM equation.

GCF(58920,58926) = 6
LCM(58920,58926) = ( 58920 × 58926) / 6
LCM(58920,58926) = 3471919920 / 6
LCM(58920,58926) = 578653320

Least Common Multiple (LCM) of 58920 and 58926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58920 and 58926. First we will calculate the prime factors of 58920 and 58926.

Prime Factorization of 58920

Prime Factorization of 58926

Now multiplying the highest exponent prime factors to calculate the LCM of 58920 and 58926.

LCM(58920,58926) = 2³ × 3¹ × 5¹ × 491¹ × 7¹ × 23¹ × 61¹
LCM(58920,58926) = 578653320