What is the Least Common Multiple of 86040 and 86045?

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 86040 and 86045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86040 and 86045, than apply into the LCM equation.

GCF(86040,86045) = 5
LCM(86040,86045) = ( 86040 × 86045) / 5
LCM(86040,86045) = 7403311800 / 5
LCM(86040,86045) = 1480662360

Least Common Multiple (LCM) of 86040 and 86045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86040 and 86045. First we will calculate the prime factors of 86040 and 86045.

Prime Factorization of 86040

Prime Factorization of 86045

Now multiplying the highest exponent prime factors to calculate the LCM of 86040 and 86045.

LCM(86040,86045) = 2³ × 3² × 5¹ × 239¹ × 17209¹
LCM(86040,86045) = 1480662360