GCF and LCM Calculator Logo

What is the Least Common Multiple of 83606 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 (LCM) of 83606 and 83617 is 6990882902.

LCM(83606,83617) = 6990882902

LCM Calculator and
and

Least Common Multiple of 83606 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 83606 and 83617, than apply into the LCM equation.

GCF(83606,83617) = 1
LCM(83606,83617) = ( 83606 × 83617) / 1
LCM(83606,83617) = 6990882902 / 1
LCM(83606,83617) = 6990882902

Least Common Multiple (LCM) of 83606 and 83617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83606 and 83617. First we will calculate the prime factors of 83606 and 83617.

Prime Factorization of 83606

Prime factors of 83606 are 2, 17, 2459. Prime factorization of 83606 in exponential form is:

83606 = 21 × 171 × 24591

Prime Factorization of 83617

Prime factors of 83617 are 83617. Prime factorization of 83617 in exponential form is:

83617 = 836171

Now multiplying the highest exponent prime factors to calculate the LCM of 83606 and 83617.

LCM(83606,83617) = 21 × 171 × 24591 × 836171
LCM(83606,83617) = 6990882902