What is the Least Common Multiple of 8608 and 8617?

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 8608 and 8617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8608 and 8617, than apply into the LCM equation.

GCF(8608,8617) = 1
LCM(8608,8617) = ( 8608 × 8617) / 1
LCM(8608,8617) = 74175136 / 1
LCM(8608,8617) = 74175136

Least Common Multiple (LCM) of 8608 and 8617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8608 and 8617. First we will calculate the prime factors of 8608 and 8617.

Prime Factorization of 8608

Prime Factorization of 8617

Now multiplying the highest exponent prime factors to calculate the LCM of 8608 and 8617.

LCM(8608,8617) = 2⁵ × 269¹ × 7¹ × 1231¹
LCM(8608,8617) = 74175136