What is the Least Common Multiple of 79682 and 79688?

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 79682 and 79688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79682 and 79688, than apply into the LCM equation.

GCF(79682,79688) = 2
LCM(79682,79688) = ( 79682 × 79688) / 2
LCM(79682,79688) = 6349699216 / 2
LCM(79682,79688) = 3174849608

Least Common Multiple (LCM) of 79682 and 79688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79682 and 79688. First we will calculate the prime factors of 79682 and 79688.

Prime Factorization of 79682

Prime Factorization of 79688

Now multiplying the highest exponent prime factors to calculate the LCM of 79682 and 79688.

LCM(79682,79688) = 2³ × 39841¹ × 7¹ × 1423¹
LCM(79682,79688) = 3174849608