What is the Least Common Multiple of 86575 and 86589?

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 86575 and 86589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86575 and 86589, than apply into the LCM equation.

GCF(86575,86589) = 1
LCM(86575,86589) = ( 86575 × 86589) / 1
LCM(86575,86589) = 7496442675 / 1
LCM(86575,86589) = 7496442675

Least Common Multiple (LCM) of 86575 and 86589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86575 and 86589. First we will calculate the prime factors of 86575 and 86589.

Prime Factorization of 86575

Prime Factorization of 86589

Now multiplying the highest exponent prime factors to calculate the LCM of 86575 and 86589.

LCM(86575,86589) = 5² × 3463¹ × 3⁴ × 1069¹
LCM(86575,86589) = 7496442675