GCF and LCM Calculator Logo

What is the Least Common Multiple of 18035 and 18051?

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 18035 and 18051 is 325549785.

LCM(18035,18051) = 325549785

LCM Calculator and
and

Least Common Multiple of 18035 and 18051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18035 and 18051, than apply into the LCM equation.

GCF(18035,18051) = 1
LCM(18035,18051) = ( 18035 × 18051) / 1
LCM(18035,18051) = 325549785 / 1
LCM(18035,18051) = 325549785

Least Common Multiple (LCM) of 18035 and 18051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18035 and 18051. First we will calculate the prime factors of 18035 and 18051.

Prime Factorization of 18035

Prime factors of 18035 are 5, 3607. Prime factorization of 18035 in exponential form is:

18035 = 51 × 36071

Prime Factorization of 18051

Prime factors of 18051 are 3, 11, 547. Prime factorization of 18051 in exponential form is:

18051 = 31 × 111 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 18035 and 18051.

LCM(18035,18051) = 51 × 36071 × 31 × 111 × 5471
LCM(18035,18051) = 325549785