What is the Least Common Multiple of 45420 and 45432?

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 45420 and 45432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45420 and 45432, than apply into the LCM equation.

GCF(45420,45432) = 12
LCM(45420,45432) = ( 45420 × 45432) / 12
LCM(45420,45432) = 2063521440 / 12
LCM(45420,45432) = 171960120

Least Common Multiple (LCM) of 45420 and 45432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45420 and 45432. First we will calculate the prime factors of 45420 and 45432.

Prime Factorization of 45420

Prime Factorization of 45432

Now multiplying the highest exponent prime factors to calculate the LCM of 45420 and 45432.

LCM(45420,45432) = 2³ × 3² × 5¹ × 757¹ × 631¹
LCM(45420,45432) = 171960120