What is the Least Common Multiple of 59100 and 59115?

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 59100 and 59115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59100 and 59115, than apply into the LCM equation.

GCF(59100,59115) = 15
LCM(59100,59115) = ( 59100 × 59115) / 15
LCM(59100,59115) = 3493696500 / 15
LCM(59100,59115) = 232913100

Least Common Multiple (LCM) of 59100 and 59115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59100 and 59115. First we will calculate the prime factors of 59100 and 59115.

Prime Factorization of 59100

Prime Factorization of 59115

Now multiplying the highest exponent prime factors to calculate the LCM of 59100 and 59115.

LCM(59100,59115) = 2² × 3¹ × 5² × 197¹ × 7¹ × 563¹
LCM(59100,59115) = 232913100