What is the Least Common Multiple of 7929 and 7944?

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 7929 and 7944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7929 and 7944, than apply into the LCM equation.

GCF(7929,7944) = 3
LCM(7929,7944) = ( 7929 × 7944) / 3
LCM(7929,7944) = 62987976 / 3
LCM(7929,7944) = 20995992

Least Common Multiple (LCM) of 7929 and 7944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7929 and 7944. First we will calculate the prime factors of 7929 and 7944.

Prime Factorization of 7929

Prime Factorization of 7944

Now multiplying the highest exponent prime factors to calculate the LCM of 7929 and 7944.

LCM(7929,7944) = 3² × 881¹ × 2³ × 331¹
LCM(7929,7944) = 20995992