What is the Least Common Multiple of 86025 and 86040?

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 86025 and 86040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86025 and 86040, than apply into the LCM equation.

GCF(86025,86040) = 15
LCM(86025,86040) = ( 86025 × 86040) / 15
LCM(86025,86040) = 7401591000 / 15
LCM(86025,86040) = 493439400

Least Common Multiple (LCM) of 86025 and 86040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86025 and 86040. First we will calculate the prime factors of 86025 and 86040.

Prime Factorization of 86025

Prime Factorization of 86040

Now multiplying the highest exponent prime factors to calculate the LCM of 86025 and 86040.

LCM(86025,86040) = 3² × 5² × 31¹ × 37¹ × 2³ × 239¹
LCM(86025,86040) = 493439400