What is the Least Common Multiple of 6924 and 6936?

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 6924 and 6936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6924 and 6936, than apply into the LCM equation.

GCF(6924,6936) = 12
LCM(6924,6936) = ( 6924 × 6936) / 12
LCM(6924,6936) = 48024864 / 12
LCM(6924,6936) = 4002072

Least Common Multiple (LCM) of 6924 and 6936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6924 and 6936. First we will calculate the prime factors of 6924 and 6936.

Prime Factorization of 6924

Prime Factorization of 6936

Now multiplying the highest exponent prime factors to calculate the LCM of 6924 and 6936.

LCM(6924,6936) = 2³ × 3¹ × 577¹ × 17²
LCM(6924,6936) = 4002072