GCF and LCM Calculator Logo

What is the Least Common Multiple of 17149 and 17166?

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 17149 and 17166 is 294379734.

LCM(17149,17166) = 294379734

LCM Calculator and
and

Least Common Multiple of 17149 and 17166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17149 and 17166, than apply into the LCM equation.

GCF(17149,17166) = 1
LCM(17149,17166) = ( 17149 × 17166) / 1
LCM(17149,17166) = 294379734 / 1
LCM(17149,17166) = 294379734

Least Common Multiple (LCM) of 17149 and 17166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17149 and 17166. First we will calculate the prime factors of 17149 and 17166.

Prime Factorization of 17149

Prime factors of 17149 are 11, 1559. Prime factorization of 17149 in exponential form is:

17149 = 111 × 15591

Prime Factorization of 17166

Prime factors of 17166 are 2, 3, 2861. Prime factorization of 17166 in exponential form is:

17166 = 21 × 31 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 17149 and 17166.

LCM(17149,17166) = 111 × 15591 × 21 × 31 × 28611
LCM(17149,17166) = 294379734