What is the Least Common Multiple of 6344 and 6357?

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 6344 and 6357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6344 and 6357, than apply into the LCM equation.

GCF(6344,6357) = 13
LCM(6344,6357) = ( 6344 × 6357) / 13
LCM(6344,6357) = 40328808 / 13
LCM(6344,6357) = 3102216

Least Common Multiple (LCM) of 6344 and 6357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6344 and 6357. First we will calculate the prime factors of 6344 and 6357.

Prime Factorization of 6344

Prime Factorization of 6357

Now multiplying the highest exponent prime factors to calculate the LCM of 6344 and 6357.

LCM(6344,6357) = 2³ × 13¹ × 61¹ × 3¹ × 163¹
LCM(6344,6357) = 3102216