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What is the Least Common Multiple of 18155 and 18173?

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 18155 and 18173 is 329930815.

LCM(18155,18173) = 329930815

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Least Common Multiple of 18155 and 18173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18155 and 18173, than apply into the LCM equation.

GCF(18155,18173) = 1
LCM(18155,18173) = ( 18155 × 18173) / 1
LCM(18155,18173) = 329930815 / 1
LCM(18155,18173) = 329930815

Least Common Multiple (LCM) of 18155 and 18173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18155 and 18173. First we will calculate the prime factors of 18155 and 18173.

Prime Factorization of 18155

Prime factors of 18155 are 5, 3631. Prime factorization of 18155 in exponential form is:

18155 = 51 × 36311

Prime Factorization of 18173

Prime factors of 18173 are 17, 1069. Prime factorization of 18173 in exponential form is:

18173 = 171 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 18155 and 18173.

LCM(18155,18173) = 51 × 36311 × 171 × 10691
LCM(18155,18173) = 329930815