What is the Least Common Multiple of 47100 and 47115?

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 47100 and 47115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47100 and 47115, than apply into the LCM equation.

GCF(47100,47115) = 15
LCM(47100,47115) = ( 47100 × 47115) / 15
LCM(47100,47115) = 2219116500 / 15
LCM(47100,47115) = 147941100

Least Common Multiple (LCM) of 47100 and 47115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47100 and 47115. First we will calculate the prime factors of 47100 and 47115.

Prime Factorization of 47100

Prime Factorization of 47115

Now multiplying the highest exponent prime factors to calculate the LCM of 47100 and 47115.

LCM(47100,47115) = 2² × 3³ × 5² × 157¹ × 349¹
LCM(47100,47115) = 147941100