GCF and LCM Calculator Logo

What is the Least Common Multiple of 18051 and 18057?

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 18051 and 18057 is 108648969.

LCM(18051,18057) = 108648969

LCM Calculator and
and

Least Common Multiple of 18051 and 18057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18051 and 18057, than apply into the LCM equation.

GCF(18051,18057) = 3
LCM(18051,18057) = ( 18051 × 18057) / 3
LCM(18051,18057) = 325946907 / 3
LCM(18051,18057) = 108648969

Least Common Multiple (LCM) of 18051 and 18057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18051 and 18057. First we will calculate the prime factors of 18051 and 18057.

Prime Factorization of 18051

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

18051 = 31 × 111 × 5471

Prime Factorization of 18057

Prime factors of 18057 are 3, 13, 463. Prime factorization of 18057 in exponential form is:

18057 = 31 × 131 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 18051 and 18057.

LCM(18051,18057) = 31 × 111 × 5471 × 131 × 4631
LCM(18051,18057) = 108648969