What is the Least Common Multiple of 6375 and 6380?

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 6375 and 6380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6375 and 6380, than apply into the LCM equation.

GCF(6375,6380) = 5
LCM(6375,6380) = ( 6375 × 6380) / 5
LCM(6375,6380) = 40672500 / 5
LCM(6375,6380) = 8134500

Least Common Multiple (LCM) of 6375 and 6380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6375 and 6380. First we will calculate the prime factors of 6375 and 6380.

Prime Factorization of 6375

Prime Factorization of 6380

Now multiplying the highest exponent prime factors to calculate the LCM of 6375 and 6380.

LCM(6375,6380) = 3¹ × 5³ × 17¹ × 2² × 11¹ × 29¹
LCM(6375,6380) = 8134500