What is the Least Common Multiple of 86250 and 86254?

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 86254 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 86254, than apply into the LCM equation.

GCF(86250,86254) = 2
LCM(86250,86254) = ( 86250 × 86254) / 2
LCM(86250,86254) = 7439407500 / 2
LCM(86250,86254) = 3719703750

Least Common Multiple (LCM) of 86250 and 86254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86250 and 86254. First we will calculate the prime factors of 86250 and 86254.

Prime Factorization of 86250

Prime Factorization of 86254

Now multiplying the highest exponent prime factors to calculate the LCM of 86250 and 86254.

LCM(86250,86254) = 2¹ × 3¹ × 5⁴ × 23¹ × 7¹ × 61¹ × 101¹
LCM(86250,86254) = 3719703750