What is the Least Common Multiple of 86609 and 86623?

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 86609 and 86623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86609 and 86623, than apply into the LCM equation.

GCF(86609,86623) = 1
LCM(86609,86623) = ( 86609 × 86623) / 1
LCM(86609,86623) = 7502331407 / 1
LCM(86609,86623) = 7502331407

Least Common Multiple (LCM) of 86609 and 86623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86609 and 86623. First we will calculate the prime factors of 86609 and 86623.

Prime Factorization of 86609

Prime Factorization of 86623

Now multiplying the highest exponent prime factors to calculate the LCM of 86609 and 86623.

LCM(86609,86623) = 257¹ × 337¹ × 29² × 103¹
LCM(86609,86623) = 7502331407