What is the Least Common Multiple of 79872 and 79881?

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 79872 and 79881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79872 and 79881, than apply into the LCM equation.

GCF(79872,79881) = 3
LCM(79872,79881) = ( 79872 × 79881) / 3
LCM(79872,79881) = 6380255232 / 3
LCM(79872,79881) = 2126751744

Least Common Multiple (LCM) of 79872 and 79881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79872 and 79881. First we will calculate the prime factors of 79872 and 79881.

Prime Factorization of 79872

Prime Factorization of 79881

Now multiplying the highest exponent prime factors to calculate the LCM of 79872 and 79881.

LCM(79872,79881) = 2¹¹ × 3¹ × 13¹ × 26627¹
LCM(79872,79881) = 2126751744