GCF and LCM Calculator Logo

What is the Least Common Multiple of 18083 and 18098?

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 18083 and 18098 is 327266134.

LCM(18083,18098) = 327266134

LCM Calculator and
and

Least Common Multiple of 18083 and 18098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18083 and 18098, than apply into the LCM equation.

GCF(18083,18098) = 1
LCM(18083,18098) = ( 18083 × 18098) / 1
LCM(18083,18098) = 327266134 / 1
LCM(18083,18098) = 327266134

Least Common Multiple (LCM) of 18083 and 18098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18083 and 18098. First we will calculate the prime factors of 18083 and 18098.

Prime Factorization of 18083

Prime factors of 18083 are 13, 107. Prime factorization of 18083 in exponential form is:

18083 = 132 × 1071

Prime Factorization of 18098

Prime factors of 18098 are 2, 9049. Prime factorization of 18098 in exponential form is:

18098 = 21 × 90491

Now multiplying the highest exponent prime factors to calculate the LCM of 18083 and 18098.

LCM(18083,18098) = 132 × 1071 × 21 × 90491
LCM(18083,18098) = 327266134