What is the Least Common Multiple of 8654 and 8668?

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 8654 and 8668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8654 and 8668, than apply into the LCM equation.

GCF(8654,8668) = 2
LCM(8654,8668) = ( 8654 × 8668) / 2
LCM(8654,8668) = 75012872 / 2
LCM(8654,8668) = 37506436

Least Common Multiple (LCM) of 8654 and 8668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8654 and 8668. First we will calculate the prime factors of 8654 and 8668.

Prime Factorization of 8654

Prime Factorization of 8668

Now multiplying the highest exponent prime factors to calculate the LCM of 8654 and 8668.

LCM(8654,8668) = 2² × 4327¹ × 11¹ × 197¹
LCM(8654,8668) = 37506436