What is the Least Common Multiple of 3150 and 3156?

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 3150 and 3156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3150 and 3156, than apply into the LCM equation.

GCF(3150,3156) = 6
LCM(3150,3156) = ( 3150 × 3156) / 6
LCM(3150,3156) = 9941400 / 6
LCM(3150,3156) = 1656900

Least Common Multiple (LCM) of 3150 and 3156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3150 and 3156. First we will calculate the prime factors of 3150 and 3156.

Prime Factorization of 3150

Prime Factorization of 3156

Now multiplying the highest exponent prime factors to calculate the LCM of 3150 and 3156.

LCM(3150,3156) = 2² × 3² × 5² × 7¹ × 263¹
LCM(3150,3156) = 1656900