What is the Least Common Multiple of 79616 and 79636?

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 79616 and 79636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79616 and 79636, than apply into the LCM equation.

GCF(79616,79636) = 4
LCM(79616,79636) = ( 79616 × 79636) / 4
LCM(79616,79636) = 6340299776 / 4
LCM(79616,79636) = 1585074944

Least Common Multiple (LCM) of 79616 and 79636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79616 and 79636. First we will calculate the prime factors of 79616 and 79636.

Prime Factorization of 79616

Prime Factorization of 79636

Now multiplying the highest exponent prime factors to calculate the LCM of 79616 and 79636.

LCM(79616,79636) = 2⁸ × 311¹ × 43¹ × 463¹
LCM(79616,79636) = 1585074944