What is the Least Common Multiple of 3156 and 3165?

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 3156 and 3165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3156 and 3165, than apply into the LCM equation.

GCF(3156,3165) = 3
LCM(3156,3165) = ( 3156 × 3165) / 3
LCM(3156,3165) = 9988740 / 3
LCM(3156,3165) = 3329580

Least Common Multiple (LCM) of 3156 and 3165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3156 and 3165. First we will calculate the prime factors of 3156 and 3165.

Prime Factorization of 3156

Prime Factorization of 3165

Now multiplying the highest exponent prime factors to calculate the LCM of 3156 and 3165.

LCM(3156,3165) = 2² × 3¹ × 263¹ × 5¹ × 211¹
LCM(3156,3165) = 3329580