What is the Least Common Multiple of 86589 and 86608?

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 86608 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 86608, than apply into the LCM equation.

GCF(86589,86608) = 1
LCM(86589,86608) = ( 86589 × 86608) / 1
LCM(86589,86608) = 7499300112 / 1
LCM(86589,86608) = 7499300112

Least Common Multiple (LCM) of 86589 and 86608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86589 and 86608. First we will calculate the prime factors of 86589 and 86608.

Prime Factorization of 86589

Prime Factorization of 86608

Now multiplying the highest exponent prime factors to calculate the LCM of 86589 and 86608.

LCM(86589,86608) = 3⁴ × 1069¹ × 2⁴ × 5413¹
LCM(86589,86608) = 7499300112