What is the Least Common Multiple of 8682 and 8696?

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 8682 and 8696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8682 and 8696, than apply into the LCM equation.

GCF(8682,8696) = 2
LCM(8682,8696) = ( 8682 × 8696) / 2
LCM(8682,8696) = 75498672 / 2
LCM(8682,8696) = 37749336

Least Common Multiple (LCM) of 8682 and 8696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8682 and 8696. First we will calculate the prime factors of 8682 and 8696.

Prime Factorization of 8682

Prime Factorization of 8696

Now multiplying the highest exponent prime factors to calculate the LCM of 8682 and 8696.

LCM(8682,8696) = 2³ × 3¹ × 1447¹ × 1087¹
LCM(8682,8696) = 37749336