What is the Least Common Multiple of 86045 and 86059?

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 86045 and 86059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86045 and 86059, than apply into the LCM equation.

GCF(86045,86059) = 1
LCM(86045,86059) = ( 86045 × 86059) / 1
LCM(86045,86059) = 7404946655 / 1
LCM(86045,86059) = 7404946655

Least Common Multiple (LCM) of 86045 and 86059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86045 and 86059. First we will calculate the prime factors of 86045 and 86059.

Prime Factorization of 86045

Prime Factorization of 86059

Now multiplying the highest exponent prime factors to calculate the LCM of 86045 and 86059.

LCM(86045,86059) = 5¹ × 17209¹ × 41¹ × 2099¹
LCM(86045,86059) = 7404946655