What is the Least Common Multiple of 90604 and 90612?

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 90604 and 90612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90604 and 90612, than apply into the LCM equation.

GCF(90604,90612) = 4
LCM(90604,90612) = ( 90604 × 90612) / 4
LCM(90604,90612) = 8209809648 / 4
LCM(90604,90612) = 2052452412

Least Common Multiple (LCM) of 90604 and 90612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90604 and 90612. First we will calculate the prime factors of 90604 and 90612.

Prime Factorization of 90604

Prime Factorization of 90612

Now multiplying the highest exponent prime factors to calculate the LCM of 90604 and 90612.

LCM(90604,90612) = 2² × 22651¹ × 3³ × 839¹
LCM(90604,90612) = 2052452412