What is the Least Common Multiple of 86256 and 86261?

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 86256 and 86261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86256 and 86261, than apply into the LCM equation.

GCF(86256,86261) = 1
LCM(86256,86261) = ( 86256 × 86261) / 1
LCM(86256,86261) = 7440528816 / 1
LCM(86256,86261) = 7440528816

Least Common Multiple (LCM) of 86256 and 86261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86256 and 86261. First we will calculate the prime factors of 86256 and 86261.

Prime Factorization of 86256

Prime Factorization of 86261

Now multiplying the highest exponent prime factors to calculate the LCM of 86256 and 86261.

LCM(86256,86261) = 2⁴ × 3² × 599¹ × 7¹ × 12323¹
LCM(86256,86261) = 7440528816