What is the Least Common Multiple of 53100 and 53115?

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 53100 and 53115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53100 and 53115, than apply into the LCM equation.

GCF(53100,53115) = 15
LCM(53100,53115) = ( 53100 × 53115) / 15
LCM(53100,53115) = 2820406500 / 15
LCM(53100,53115) = 188027100

Least Common Multiple (LCM) of 53100 and 53115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53100 and 53115. First we will calculate the prime factors of 53100 and 53115.

Prime Factorization of 53100

Prime Factorization of 53115

Now multiplying the highest exponent prime factors to calculate the LCM of 53100 and 53115.

LCM(53100,53115) = 2² × 3² × 5² × 59¹ × 3541¹
LCM(53100,53115) = 188027100