What is the Least Common Multiple of 83586 and 83599?

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 83586 and 83599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83586 and 83599, than apply into the LCM equation.

GCF(83586,83599) = 1
LCM(83586,83599) = ( 83586 × 83599) / 1
LCM(83586,83599) = 6987706014 / 1
LCM(83586,83599) = 6987706014

Least Common Multiple (LCM) of 83586 and 83599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83586 and 83599. First we will calculate the prime factors of 83586 and 83599.

Prime Factorization of 83586

Prime Factorization of 83599

Now multiplying the highest exponent prime factors to calculate the LCM of 83586 and 83599.

LCM(83586,83599) = 2¹ × 3¹ × 13931¹ × 41¹ × 2039¹
LCM(83586,83599) = 6987706014