What is the Least Common Multiple of 54612 and 54630?

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 54612 and 54630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54612 and 54630, than apply into the LCM equation.

GCF(54612,54630) = 18
LCM(54612,54630) = ( 54612 × 54630) / 18
LCM(54612,54630) = 2983453560 / 18
LCM(54612,54630) = 165747420

Least Common Multiple (LCM) of 54612 and 54630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54612 and 54630. First we will calculate the prime factors of 54612 and 54630.

Prime Factorization of 54612

Prime Factorization of 54630

Now multiplying the highest exponent prime factors to calculate the LCM of 54612 and 54630.

LCM(54612,54630) = 2² × 3² × 37¹ × 41¹ × 5¹ × 607¹
LCM(54612,54630) = 165747420