GCF and LCM Calculator Logo

What is the Least Common Multiple of 18466 and 18476?

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 18466 and 18476 is 170588908.

LCM(18466,18476) = 170588908

LCM Calculator and
and

Least Common Multiple of 18466 and 18476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18466 and 18476, than apply into the LCM equation.

GCF(18466,18476) = 2
LCM(18466,18476) = ( 18466 × 18476) / 2
LCM(18466,18476) = 341177816 / 2
LCM(18466,18476) = 170588908

Least Common Multiple (LCM) of 18466 and 18476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18466 and 18476. First we will calculate the prime factors of 18466 and 18476.

Prime Factorization of 18466

Prime factors of 18466 are 2, 7, 1319. Prime factorization of 18466 in exponential form is:

18466 = 21 × 71 × 13191

Prime Factorization of 18476

Prime factors of 18476 are 2, 31, 149. Prime factorization of 18476 in exponential form is:

18476 = 22 × 311 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 18466 and 18476.

LCM(18466,18476) = 22 × 71 × 13191 × 311 × 1491
LCM(18466,18476) = 170588908