What is the Least Common Multiple of 83586 and 83605?

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 83605 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 83605, than apply into the LCM equation.

GCF(83586,83605) = 1
LCM(83586,83605) = ( 83586 × 83605) / 1
LCM(83586,83605) = 6988207530 / 1
LCM(83586,83605) = 6988207530

Least Common Multiple (LCM) of 83586 and 83605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83586 and 83605. First we will calculate the prime factors of 83586 and 83605.

Prime Factorization of 83586

Prime Factorization of 83605

Now multiplying the highest exponent prime factors to calculate the LCM of 83586 and 83605.

LCM(83586,83605) = 2¹ × 3¹ × 13931¹ × 5¹ × 23¹ × 727¹
LCM(83586,83605) = 6988207530