What is the Least Common Multiple of 53100 and 53118?

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 53118 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 53118, than apply into the LCM equation.

GCF(53100,53118) = 18
LCM(53100,53118) = ( 53100 × 53118) / 18
LCM(53100,53118) = 2820565800 / 18
LCM(53100,53118) = 156698100

Least Common Multiple (LCM) of 53100 and 53118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53100 and 53118. First we will calculate the prime factors of 53100 and 53118.

Prime Factorization of 53100

Prime Factorization of 53118

Now multiplying the highest exponent prime factors to calculate the LCM of 53100 and 53118.

LCM(53100,53118) = 2² × 3² × 5² × 59¹ × 13¹ × 227¹
LCM(53100,53118) = 156698100