What is the Least Common Multiple of 79647 and 79659?

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 79647 and 79659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79647 and 79659, than apply into the LCM equation.

GCF(79647,79659) = 3
LCM(79647,79659) = ( 79647 × 79659) / 3
LCM(79647,79659) = 6344600373 / 3
LCM(79647,79659) = 2114866791

Least Common Multiple (LCM) of 79647 and 79659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79647 and 79659. First we will calculate the prime factors of 79647 and 79659.

Prime Factorization of 79647

Prime Factorization of 79659

Now multiplying the highest exponent prime factors to calculate the LCM of 79647 and 79659.

LCM(79647,79659) = 3² × 139¹ × 191¹ × 53¹ × 167¹
LCM(79647,79659) = 2114866791