What is the Least Common Multiple of 8696 and 8705?

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 8705 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 8705, than apply into the LCM equation.

GCF(8696,8705) = 1
LCM(8696,8705) = ( 8696 × 8705) / 1
LCM(8696,8705) = 75698680 / 1
LCM(8696,8705) = 75698680

Least Common Multiple (LCM) of 8696 and 8705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8705. First we will calculate the prime factors of 8696 and 8705.

Prime Factorization of 8696

Prime Factorization of 8705

Now multiplying the highest exponent prime factors to calculate the LCM of 8696 and 8705.

LCM(8696,8705) = 2³ × 1087¹ × 5¹ × 1741¹
LCM(8696,8705) = 75698680