GCF and LCM Calculator Logo

What is the Least Common Multiple of 18194 and 18208?

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 18194 and 18208 is 165638176.

LCM(18194,18208) = 165638176

LCM Calculator and
and

Least Common Multiple of 18194 and 18208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18194 and 18208, than apply into the LCM equation.

GCF(18194,18208) = 2
LCM(18194,18208) = ( 18194 × 18208) / 2
LCM(18194,18208) = 331276352 / 2
LCM(18194,18208) = 165638176

Least Common Multiple (LCM) of 18194 and 18208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18194 and 18208. First we will calculate the prime factors of 18194 and 18208.

Prime Factorization of 18194

Prime factors of 18194 are 2, 11, 827. Prime factorization of 18194 in exponential form is:

18194 = 21 × 111 × 8271

Prime Factorization of 18208

Prime factors of 18208 are 2, 569. Prime factorization of 18208 in exponential form is:

18208 = 25 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 18194 and 18208.

LCM(18194,18208) = 25 × 111 × 8271 × 5691
LCM(18194,18208) = 165638176