What is the Least Common Multiple of 79512 and 79519?

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 79512 and 79519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79512 and 79519, than apply into the LCM equation.

GCF(79512,79519) = 1
LCM(79512,79519) = ( 79512 × 79519) / 1
LCM(79512,79519) = 6322714728 / 1
LCM(79512,79519) = 6322714728

Least Common Multiple (LCM) of 79512 and 79519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79512 and 79519. First we will calculate the prime factors of 79512 and 79519.

Prime Factorization of 79512

Prime Factorization of 79519

Now multiplying the highest exponent prime factors to calculate the LCM of 79512 and 79519.

LCM(79512,79519) = 2³ × 3¹ × 3313¹ × 11¹ × 7229¹
LCM(79512,79519) = 6322714728