What is the Least Common Multiple of 6324 and 6336?

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 6324 and 6336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6324 and 6336, than apply into the LCM equation.

GCF(6324,6336) = 12
LCM(6324,6336) = ( 6324 × 6336) / 12
LCM(6324,6336) = 40068864 / 12
LCM(6324,6336) = 3339072

Least Common Multiple (LCM) of 6324 and 6336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6336. First we will calculate the prime factors of 6324 and 6336.

Prime Factorization of 6324

Prime Factorization of 6336

Now multiplying the highest exponent prime factors to calculate the LCM of 6324 and 6336.

LCM(6324,6336) = 2⁶ × 3² × 17¹ × 31¹ × 11¹
LCM(6324,6336) = 3339072