GCF and LCM Calculator Logo

What is the Least Common Multiple of 18558 and 18578?

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 18558 and 18578 is 172385262.

LCM(18558,18578) = 172385262

LCM Calculator and
and

Least Common Multiple of 18558 and 18578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18558 and 18578, than apply into the LCM equation.

GCF(18558,18578) = 2
LCM(18558,18578) = ( 18558 × 18578) / 2
LCM(18558,18578) = 344770524 / 2
LCM(18558,18578) = 172385262

Least Common Multiple (LCM) of 18558 and 18578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18558 and 18578. First we will calculate the prime factors of 18558 and 18578.

Prime Factorization of 18558

Prime factors of 18558 are 2, 3, 1031. Prime factorization of 18558 in exponential form is:

18558 = 21 × 32 × 10311

Prime Factorization of 18578

Prime factors of 18578 are 2, 7, 1327. Prime factorization of 18578 in exponential form is:

18578 = 21 × 71 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 18558 and 18578.

LCM(18558,18578) = 21 × 32 × 10311 × 71 × 13271
LCM(18558,18578) = 172385262