What is the Least Common Multiple of 17166 and 17177?

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 17166 and 17177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17166 and 17177, than apply into the LCM equation.

GCF(17166,17177) = 1
LCM(17166,17177) = ( 17166 × 17177) / 1
LCM(17166,17177) = 294860382 / 1
LCM(17166,17177) = 294860382

Least Common Multiple (LCM) of 17166 and 17177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17166 and 17177. First we will calculate the prime factors of 17166 and 17177.

Prime Factorization of 17166

Prime Factorization of 17177

Now multiplying the highest exponent prime factors to calculate the LCM of 17166 and 17177.

LCM(17166,17177) = 2¹ × 3¹ × 2861¹ × 89¹ × 193¹
LCM(17166,17177) = 294860382