What is the Least Common Multiple of 86600 and 86605?

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 86600 and 86605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86600 and 86605, than apply into the LCM equation.

GCF(86600,86605) = 5
LCM(86600,86605) = ( 86600 × 86605) / 5
LCM(86600,86605) = 7499993000 / 5
LCM(86600,86605) = 1499998600

Least Common Multiple (LCM) of 86600 and 86605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86600 and 86605. First we will calculate the prime factors of 86600 and 86605.

Prime Factorization of 86600

Prime Factorization of 86605

Now multiplying the highest exponent prime factors to calculate the LCM of 86600 and 86605.

LCM(86600,86605) = 2³ × 5² × 433¹ × 17321¹
LCM(86600,86605) = 1499998600