What is the Least Common Multiple of 86257 and 86264?

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 86257 and 86264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86257 and 86264, than apply into the LCM equation.

GCF(86257,86264) = 1
LCM(86257,86264) = ( 86257 × 86264) / 1
LCM(86257,86264) = 7440873848 / 1
LCM(86257,86264) = 7440873848

Least Common Multiple (LCM) of 86257 and 86264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86257 and 86264. First we will calculate the prime factors of 86257 and 86264.

Prime Factorization of 86257

Prime Factorization of 86264

Now multiplying the highest exponent prime factors to calculate the LCM of 86257 and 86264.

LCM(86257,86264) = 86257¹ × 2³ × 41¹ × 263¹
LCM(86257,86264) = 7440873848