What is the Least Common Multiple of 79929 and 79944?

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 79929 and 79944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79929 and 79944, than apply into the LCM equation.

GCF(79929,79944) = 3
LCM(79929,79944) = ( 79929 × 79944) / 3
LCM(79929,79944) = 6389843976 / 3
LCM(79929,79944) = 2129947992

Least Common Multiple (LCM) of 79929 and 79944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79929 and 79944. First we will calculate the prime factors of 79929 and 79944.

Prime Factorization of 79929

Prime Factorization of 79944

Now multiplying the highest exponent prime factors to calculate the LCM of 79929 and 79944.

LCM(79929,79944) = 3² × 83¹ × 107¹ × 2³ × 3331¹
LCM(79929,79944) = 2129947992