What is the Least Common Multiple of 6336 and 6348?

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 6336 and 6348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6336 and 6348, than apply into the LCM equation.

GCF(6336,6348) = 12
LCM(6336,6348) = ( 6336 × 6348) / 12
LCM(6336,6348) = 40220928 / 12
LCM(6336,6348) = 3351744

Least Common Multiple (LCM) of 6336 and 6348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6336 and 6348. First we will calculate the prime factors of 6336 and 6348.

Prime Factorization of 6336

Prime Factorization of 6348

Now multiplying the highest exponent prime factors to calculate the LCM of 6336 and 6348.

LCM(6336,6348) = 2⁶ × 3² × 11¹ × 23²
LCM(6336,6348) = 3351744