GCF and LCM Calculator Logo

What is the Least Common Multiple of 18155 and 18164?

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 18155 and 18164 is 329767420.

LCM(18155,18164) = 329767420

LCM Calculator and
and

Least Common Multiple of 18155 and 18164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18155 and 18164, than apply into the LCM equation.

GCF(18155,18164) = 1
LCM(18155,18164) = ( 18155 × 18164) / 1
LCM(18155,18164) = 329767420 / 1
LCM(18155,18164) = 329767420

Least Common Multiple (LCM) of 18155 and 18164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18155 and 18164. First we will calculate the prime factors of 18155 and 18164.

Prime Factorization of 18155

Prime factors of 18155 are 5, 3631. Prime factorization of 18155 in exponential form is:

18155 = 51 × 36311

Prime Factorization of 18164

Prime factors of 18164 are 2, 19, 239. Prime factorization of 18164 in exponential form is:

18164 = 22 × 191 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 18155 and 18164.

LCM(18155,18164) = 51 × 36311 × 22 × 191 × 2391
LCM(18155,18164) = 329767420