What is the Least Common Multiple of 90492 and 90507?

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 90492 and 90507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90492 and 90507, than apply into the LCM equation.

GCF(90492,90507) = 3
LCM(90492,90507) = ( 90492 × 90507) / 3
LCM(90492,90507) = 8190159444 / 3
LCM(90492,90507) = 2730053148

Least Common Multiple (LCM) of 90492 and 90507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90492 and 90507. First we will calculate the prime factors of 90492 and 90507.

Prime Factorization of 90492

Prime Factorization of 90507

Now multiplying the highest exponent prime factors to calculate the LCM of 90492 and 90507.

LCM(90492,90507) = 2² × 3¹ × 7541¹ × 30169¹
LCM(90492,90507) = 2730053148