What is the Least Common Multiple of 6375 and 6393?

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 6393 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 6393, than apply into the LCM equation.

GCF(6375,6393) = 3
LCM(6375,6393) = ( 6375 × 6393) / 3
LCM(6375,6393) = 40755375 / 3
LCM(6375,6393) = 13585125

Least Common Multiple (LCM) of 6375 and 6393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6375 and 6393. First we will calculate the prime factors of 6375 and 6393.

Prime Factorization of 6375

Prime Factorization of 6393

Now multiplying the highest exponent prime factors to calculate the LCM of 6375 and 6393.

LCM(6375,6393) = 3¹ × 5³ × 17¹ × 2131¹
LCM(6375,6393) = 13585125