What is the Least Common Multiple of 12150 and 12170?

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 12170 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 12170, than apply into the LCM equation.

GCF(12150,12170) = 10
LCM(12150,12170) = ( 12150 × 12170) / 10
LCM(12150,12170) = 147865500 / 10
LCM(12150,12170) = 14786550

Least Common Multiple (LCM) of 12150 and 12170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12150 and 12170. First we will calculate the prime factors of 12150 and 12170.

Prime Factorization of 12150

Prime Factorization of 12170

Now multiplying the highest exponent prime factors to calculate the LCM of 12150 and 12170.

LCM(12150,12170) = 2¹ × 3⁵ × 5² × 1217¹
LCM(12150,12170) = 14786550