What is the Least Common Multiple of 8678 and 8684?

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 8678 and 8684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8678 and 8684, than apply into the LCM equation.

GCF(8678,8684) = 2
LCM(8678,8684) = ( 8678 × 8684) / 2
LCM(8678,8684) = 75359752 / 2
LCM(8678,8684) = 37679876

Least Common Multiple (LCM) of 8678 and 8684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8684. First we will calculate the prime factors of 8678 and 8684.

Prime Factorization of 8678

Prime Factorization of 8684

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8684.

LCM(8678,8684) = 2² × 4339¹ × 13¹ × 167¹
LCM(8678,8684) = 37679876