What is the Least Common Multiple of 79596 and 79613?

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 79596 and 79613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79596 and 79613, than apply into the LCM equation.

GCF(79596,79613) = 1
LCM(79596,79613) = ( 79596 × 79613) / 1
LCM(79596,79613) = 6336876348 / 1
LCM(79596,79613) = 6336876348

Least Common Multiple (LCM) of 79596 and 79613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79596 and 79613. First we will calculate the prime factors of 79596 and 79613.

Prime Factorization of 79596

Prime Factorization of 79613

Now multiplying the highest exponent prime factors to calculate the LCM of 79596 and 79613.

LCM(79596,79613) = 2² × 3³ × 11¹ × 67¹ × 79613¹
LCM(79596,79613) = 6336876348