GCF and LCM Calculator Logo

What is the Least Common Multiple of 18140 and 18146?

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 18140 and 18146 is 164584220.

LCM(18140,18146) = 164584220

LCM Calculator and
and

Least Common Multiple of 18140 and 18146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18140 and 18146, than apply into the LCM equation.

GCF(18140,18146) = 2
LCM(18140,18146) = ( 18140 × 18146) / 2
LCM(18140,18146) = 329168440 / 2
LCM(18140,18146) = 164584220

Least Common Multiple (LCM) of 18140 and 18146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18140 and 18146. First we will calculate the prime factors of 18140 and 18146.

Prime Factorization of 18140

Prime factors of 18140 are 2, 5, 907. Prime factorization of 18140 in exponential form is:

18140 = 22 × 51 × 9071

Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 21 × 431 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 18140 and 18146.

LCM(18140,18146) = 22 × 51 × 9071 × 431 × 2111
LCM(18140,18146) = 164584220