What is the Least Common Multiple of 79944 and 79952?

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 79952 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 79952, than apply into the LCM equation.

GCF(79944,79952) = 8
LCM(79944,79952) = ( 79944 × 79952) / 8
LCM(79944,79952) = 6391682688 / 8
LCM(79944,79952) = 798960336

Least Common Multiple (LCM) of 79944 and 79952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79944 and 79952. First we will calculate the prime factors of 79944 and 79952.

Prime Factorization of 79944

Prime Factorization of 79952

Now multiplying the highest exponent prime factors to calculate the LCM of 79944 and 79952.

LCM(79944,79952) = 2⁴ × 3¹ × 3331¹ × 19¹ × 263¹
LCM(79944,79952) = 798960336