What is the Least Common Multiple of 83605 and 83617?

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 83605 and 83617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83605 and 83617, than apply into the LCM equation.

GCF(83605,83617) = 1
LCM(83605,83617) = ( 83605 × 83617) / 1
LCM(83605,83617) = 6990799285 / 1
LCM(83605,83617) = 6990799285

Least Common Multiple (LCM) of 83605 and 83617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83605 and 83617. First we will calculate the prime factors of 83605 and 83617.

Prime Factorization of 83605

Prime Factorization of 83617

Now multiplying the highest exponent prime factors to calculate the LCM of 83605 and 83617.

LCM(83605,83617) = 5¹ × 23¹ × 727¹ × 83617¹
LCM(83605,83617) = 6990799285