What is the Least Common Multiple of 6936 and 6948?

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 6936 and 6948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6936 and 6948, than apply into the LCM equation.

GCF(6936,6948) = 12
LCM(6936,6948) = ( 6936 × 6948) / 12
LCM(6936,6948) = 48191328 / 12
LCM(6936,6948) = 4015944

Least Common Multiple (LCM) of 6936 and 6948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6948. First we will calculate the prime factors of 6936 and 6948.

Prime Factorization of 6936

Prime Factorization of 6948

Now multiplying the highest exponent prime factors to calculate the LCM of 6936 and 6948.

LCM(6936,6948) = 2³ × 3² × 17² × 193¹
LCM(6936,6948) = 4015944