What is the Least Common Multiple of 79944 and 79950?

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 79944 and 79950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79944 and 79950, than apply into the LCM equation.

GCF(79944,79950) = 6
LCM(79944,79950) = ( 79944 × 79950) / 6
LCM(79944,79950) = 6391522800 / 6
LCM(79944,79950) = 1065253800

Least Common Multiple (LCM) of 79944 and 79950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79944 and 79950. First we will calculate the prime factors of 79944 and 79950.

Prime Factorization of 79944

Prime Factorization of 79950

Now multiplying the highest exponent prime factors to calculate the LCM of 79944 and 79950.

LCM(79944,79950) = 2³ × 3¹ × 3331¹ × 5² × 13¹ × 41¹
LCM(79944,79950) = 1065253800