What is the Least Common Multiple of 86589 and 86607?

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 86589 and 86607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86589 and 86607, than apply into the LCM equation.

GCF(86589,86607) = 9
LCM(86589,86607) = ( 86589 × 86607) / 9
LCM(86589,86607) = 7499213523 / 9
LCM(86589,86607) = 833245947

Least Common Multiple (LCM) of 86589 and 86607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86589 and 86607. First we will calculate the prime factors of 86589 and 86607.

Prime Factorization of 86589

Prime Factorization of 86607

Now multiplying the highest exponent prime factors to calculate the LCM of 86589 and 86607.

LCM(86589,86607) = 3⁴ × 1069¹ × 9623¹
LCM(86589,86607) = 833245947