GCF and LCM Calculator Logo

What is the Least Common Multiple of 18199 and 18218?

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 18199 and 18218 is 331549382.

LCM(18199,18218) = 331549382

LCM Calculator and
and

Least Common Multiple of 18199 and 18218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18199 and 18218, than apply into the LCM equation.

GCF(18199,18218) = 1
LCM(18199,18218) = ( 18199 × 18218) / 1
LCM(18199,18218) = 331549382 / 1
LCM(18199,18218) = 331549382

Least Common Multiple (LCM) of 18199 and 18218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18199 and 18218. First we will calculate the prime factors of 18199 and 18218.

Prime Factorization of 18199

Prime factors of 18199 are 18199. Prime factorization of 18199 in exponential form is:

18199 = 181991

Prime Factorization of 18218

Prime factors of 18218 are 2, 9109. Prime factorization of 18218 in exponential form is:

18218 = 21 × 91091

Now multiplying the highest exponent prime factors to calculate the LCM of 18199 and 18218.

LCM(18199,18218) = 181991 × 21 × 91091
LCM(18199,18218) = 331549382