What is the Least Common Multiple of 86256 and 86262?

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 86262 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 86262, than apply into the LCM equation.

GCF(86256,86262) = 6
LCM(86256,86262) = ( 86256 × 86262) / 6
LCM(86256,86262) = 7440615072 / 6
LCM(86256,86262) = 1240102512

Least Common Multiple (LCM) of 86256 and 86262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86256 and 86262. First we will calculate the prime factors of 86256 and 86262.

Prime Factorization of 86256

Prime Factorization of 86262

Now multiplying the highest exponent prime factors to calculate the LCM of 86256 and 86262.

LCM(86256,86262) = 2⁴ × 3² × 599¹ × 11¹ × 1307¹
LCM(86256,86262) = 1240102512