What is the Least Common Multiple of 86606 and 86617?

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 86606 and 86617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86606 and 86617, than apply into the LCM equation.

GCF(86606,86617) = 1
LCM(86606,86617) = ( 86606 × 86617) / 1
LCM(86606,86617) = 7501551902 / 1
LCM(86606,86617) = 7501551902

Least Common Multiple (LCM) of 86606 and 86617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86606 and 86617. First we will calculate the prime factors of 86606 and 86617.

Prime Factorization of 86606

Prime Factorization of 86617

Now multiplying the highest exponent prime factors to calculate the LCM of 86606 and 86617.

LCM(86606,86617) = 2¹ × 13¹ × 3331¹ × 37¹ × 2341¹
LCM(86606,86617) = 7501551902