What is the Least Common Multiple of 45156 and 45165?

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 45156 and 45165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45156 and 45165, than apply into the LCM equation.

GCF(45156,45165) = 3
LCM(45156,45165) = ( 45156 × 45165) / 3
LCM(45156,45165) = 2039470740 / 3
LCM(45156,45165) = 679823580

Least Common Multiple (LCM) of 45156 and 45165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45156 and 45165. First we will calculate the prime factors of 45156 and 45165.

Prime Factorization of 45156

Prime Factorization of 45165

Now multiplying the highest exponent prime factors to calculate the LCM of 45156 and 45165.

LCM(45156,45165) = 2² × 3¹ × 53¹ × 71¹ × 5¹ × 3011¹
LCM(45156,45165) = 679823580