What is the Least Common Multiple of 8696 and 8707?

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 8696 and 8707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8696 and 8707, than apply into the LCM equation.

GCF(8696,8707) = 1
LCM(8696,8707) = ( 8696 × 8707) / 1
LCM(8696,8707) = 75716072 / 1
LCM(8696,8707) = 75716072

Least Common Multiple (LCM) of 8696 and 8707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8707. First we will calculate the prime factors of 8696 and 8707.

Prime Factorization of 8696

Prime Factorization of 8707

Now multiplying the highest exponent prime factors to calculate the LCM of 8696 and 8707.

LCM(8696,8707) = 2³ × 1087¹ × 8707¹
LCM(8696,8707) = 75716072