What is the Least Common Multiple of 86256 and 86266?

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 86266 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 86266, than apply into the LCM equation.

GCF(86256,86266) = 2
LCM(86256,86266) = ( 86256 × 86266) / 2
LCM(86256,86266) = 7440960096 / 2
LCM(86256,86266) = 3720480048

Least Common Multiple (LCM) of 86256 and 86266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86256 and 86266. First we will calculate the prime factors of 86256 and 86266.

Prime Factorization of 86256

Prime Factorization of 86266

Now multiplying the highest exponent prime factors to calculate the LCM of 86256 and 86266.

LCM(86256,86266) = 2⁴ × 3² × 599¹ × 43133¹
LCM(86256,86266) = 3720480048