What is the Least Common Multiple of 12150 and 12164?

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 12150 and 12164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12150 and 12164, than apply into the LCM equation.

GCF(12150,12164) = 2
LCM(12150,12164) = ( 12150 × 12164) / 2
LCM(12150,12164) = 147792600 / 2
LCM(12150,12164) = 73896300

Least Common Multiple (LCM) of 12150 and 12164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12150 and 12164. First we will calculate the prime factors of 12150 and 12164.

Prime Factorization of 12150

Prime Factorization of 12164

Now multiplying the highest exponent prime factors to calculate the LCM of 12150 and 12164.

LCM(12150,12164) = 2² × 3⁵ × 5² × 3041¹
LCM(12150,12164) = 73896300