What is the Least Common Multiple of 16605 and 16617?

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 16605 and 16617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16605 and 16617, than apply into the LCM equation.

GCF(16605,16617) = 3
LCM(16605,16617) = ( 16605 × 16617) / 3
LCM(16605,16617) = 275925285 / 3
LCM(16605,16617) = 91975095

Least Common Multiple (LCM) of 16605 and 16617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16605 and 16617. First we will calculate the prime factors of 16605 and 16617.

Prime Factorization of 16605

Prime Factorization of 16617

Now multiplying the highest exponent prime factors to calculate the LCM of 16605 and 16617.

LCM(16605,16617) = 3⁴ × 5¹ × 41¹ × 29¹ × 191¹
LCM(16605,16617) = 91975095