What is the Least Common Multiple of 90612 and 90632?

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 90612 and 90632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90612 and 90632, than apply into the LCM equation.

GCF(90612,90632) = 4
LCM(90612,90632) = ( 90612 × 90632) / 4
LCM(90612,90632) = 8212346784 / 4
LCM(90612,90632) = 2053086696

Least Common Multiple (LCM) of 90612 and 90632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90612 and 90632. First we will calculate the prime factors of 90612 and 90632.

Prime Factorization of 90612

Prime Factorization of 90632

Now multiplying the highest exponent prime factors to calculate the LCM of 90612 and 90632.

LCM(90612,90632) = 2³ × 3³ × 839¹ × 11329¹
LCM(90612,90632) = 2053086696