What is the Least Common Multiple of 86250 and 86256?

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 86250 and 86256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86250 and 86256, than apply into the LCM equation.

GCF(86250,86256) = 6
LCM(86250,86256) = ( 86250 × 86256) / 6
LCM(86250,86256) = 7439580000 / 6
LCM(86250,86256) = 1239930000

Least Common Multiple (LCM) of 86250 and 86256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86250 and 86256. First we will calculate the prime factors of 86250 and 86256.

Prime Factorization of 86250

Prime Factorization of 86256

Now multiplying the highest exponent prime factors to calculate the LCM of 86250 and 86256.

LCM(86250,86256) = 2⁴ × 3² × 5⁴ × 23¹ × 599¹
LCM(86250,86256) = 1239930000