What is the Least Common Multiple of 86499 and 86508?

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 86499 and 86508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86499 and 86508, than apply into the LCM equation.

GCF(86499,86508) = 9
LCM(86499,86508) = ( 86499 × 86508) / 9
LCM(86499,86508) = 7482855492 / 9
LCM(86499,86508) = 831428388

Least Common Multiple (LCM) of 86499 and 86508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86499 and 86508. First we will calculate the prime factors of 86499 and 86508.

Prime Factorization of 86499

Prime Factorization of 86508

Now multiplying the highest exponent prime factors to calculate the LCM of 86499 and 86508.

LCM(86499,86508) = 3⁵ × 7¹ × 1373¹ × 2² × 89¹
LCM(86499,86508) = 831428388