What is the Least Common Multiple of 36450 and 36456?

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 36450 and 36456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36450 and 36456, than apply into the LCM equation.

GCF(36450,36456) = 6
LCM(36450,36456) = ( 36450 × 36456) / 6
LCM(36450,36456) = 1328821200 / 6
LCM(36450,36456) = 221470200

Least Common Multiple (LCM) of 36450 and 36456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36450 and 36456. First we will calculate the prime factors of 36450 and 36456.

Prime Factorization of 36450

Prime Factorization of 36456

Now multiplying the highest exponent prime factors to calculate the LCM of 36450 and 36456.

LCM(36450,36456) = 2³ × 3⁶ × 5² × 7² × 31¹
LCM(36450,36456) = 221470200