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What is the Least Common Multiple of 16173 and 16181?

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 16181 is 261695313.

LCM(16173,16181) = 261695313

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Least Common Multiple of 16173 and 16181 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 16181, than apply into the LCM equation.

GCF(16173,16181) = 1
LCM(16173,16181) = ( 16173 × 16181) / 1
LCM(16173,16181) = 261695313 / 1
LCM(16173,16181) = 261695313

Least Common Multiple (LCM) of 16173 and 16181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16173 and 16181. First we will calculate the prime factors of 16173 and 16181.

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 16181

Prime factors of 16181 are 11, 1471. Prime factorization of 16181 in exponential form is:

16181 = 111 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 16173 and 16181.

LCM(16173,16181) = 33 × 5991 × 111 × 14711
LCM(16173,16181) = 261695313