GCF and LCM Calculator Logo

What is the Least Common Multiple of 18147 and 18166?

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 18147 and 18166 is 329658402.

LCM(18147,18166) = 329658402

LCM Calculator and
and

Least Common Multiple of 18147 and 18166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18147 and 18166, than apply into the LCM equation.

GCF(18147,18166) = 1
LCM(18147,18166) = ( 18147 × 18166) / 1
LCM(18147,18166) = 329658402 / 1
LCM(18147,18166) = 329658402

Least Common Multiple (LCM) of 18147 and 18166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18147 and 18166. First we will calculate the prime factors of 18147 and 18166.

Prime Factorization of 18147

Prime factors of 18147 are 3, 23, 263. Prime factorization of 18147 in exponential form is:

18147 = 31 × 231 × 2631

Prime Factorization of 18166

Prime factors of 18166 are 2, 31, 293. Prime factorization of 18166 in exponential form is:

18166 = 21 × 311 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 18147 and 18166.

LCM(18147,18166) = 31 × 231 × 2631 × 21 × 311 × 2931
LCM(18147,18166) = 329658402