What is the Least Common Multiple of 79696 and 79708?

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 79696 and 79708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79696 and 79708, than apply into the LCM equation.

GCF(79696,79708) = 4
LCM(79696,79708) = ( 79696 × 79708) / 4
LCM(79696,79708) = 6352408768 / 4
LCM(79696,79708) = 1588102192

Least Common Multiple (LCM) of 79696 and 79708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79696 and 79708. First we will calculate the prime factors of 79696 and 79708.

Prime Factorization of 79696

Prime Factorization of 79708

Now multiplying the highest exponent prime factors to calculate the LCM of 79696 and 79708.

LCM(79696,79708) = 2⁴ × 17¹ × 293¹ × 19927¹
LCM(79696,79708) = 1588102192