GCF and LCM Calculator Logo

What is the Least Common Multiple of 18135 and 18152?

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 18135 and 18152 is 329186520.

LCM(18135,18152) = 329186520

LCM Calculator and
and

Least Common Multiple of 18135 and 18152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18135 and 18152, than apply into the LCM equation.

GCF(18135,18152) = 1
LCM(18135,18152) = ( 18135 × 18152) / 1
LCM(18135,18152) = 329186520 / 1
LCM(18135,18152) = 329186520

Least Common Multiple (LCM) of 18135 and 18152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18135 and 18152. First we will calculate the prime factors of 18135 and 18152.

Prime Factorization of 18135

Prime factors of 18135 are 3, 5, 13, 31. Prime factorization of 18135 in exponential form is:

18135 = 32 × 51 × 131 × 311

Prime Factorization of 18152

Prime factors of 18152 are 2, 2269. Prime factorization of 18152 in exponential form is:

18152 = 23 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 18135 and 18152.

LCM(18135,18152) = 32 × 51 × 131 × 311 × 23 × 22691
LCM(18135,18152) = 329186520