What is the Least Common Multiple of 90156 and 90165?

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 90156 and 90165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90156 and 90165, than apply into the LCM equation.

GCF(90156,90165) = 3
LCM(90156,90165) = ( 90156 × 90165) / 3
LCM(90156,90165) = 8128915740 / 3
LCM(90156,90165) = 2709638580

Least Common Multiple (LCM) of 90156 and 90165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90156 and 90165. First we will calculate the prime factors of 90156 and 90165.

Prime Factorization of 90156

Prime Factorization of 90165

Now multiplying the highest exponent prime factors to calculate the LCM of 90156 and 90165.

LCM(90156,90165) = 2² × 3¹ × 11¹ × 683¹ × 5¹ × 6011¹
LCM(90156,90165) = 2709638580