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What is the Least Common Multiple of 16173 and 16180?

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 16173 and 16180 is 261679140.

LCM(16173,16180) = 261679140

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Least Common Multiple of 16173 and 16180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16173 and 16180, than apply into the LCM equation.

GCF(16173,16180) = 1
LCM(16173,16180) = ( 16173 × 16180) / 1
LCM(16173,16180) = 261679140 / 1
LCM(16173,16180) = 261679140

Least Common Multiple (LCM) of 16173 and 16180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16173 and 16180. First we will calculate the prime factors of 16173 and 16180.

Prime Factorization of 16173

Prime factors of 16173 are 3, 599. Prime factorization of 16173 in exponential form is:

16173 = 33 × 5991

Prime Factorization of 16180

Prime factors of 16180 are 2, 5, 809. Prime factorization of 16180 in exponential form is:

16180 = 22 × 51 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 16173 and 16180.

LCM(16173,16180) = 33 × 5991 × 22 × 51 × 8091
LCM(16173,16180) = 261679140