What is the Least Common Multiple of 51375 and 51390?

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 51375 and 51390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51375 and 51390, than apply into the LCM equation.

GCF(51375,51390) = 15
LCM(51375,51390) = ( 51375 × 51390) / 15
LCM(51375,51390) = 2640161250 / 15
LCM(51375,51390) = 176010750

Least Common Multiple (LCM) of 51375 and 51390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51375 and 51390. First we will calculate the prime factors of 51375 and 51390.

Prime Factorization of 51375

Prime Factorization of 51390

Now multiplying the highest exponent prime factors to calculate the LCM of 51375 and 51390.

LCM(51375,51390) = 3² × 5³ × 137¹ × 2¹ × 571¹
LCM(51375,51390) = 176010750