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What is the Least Common Multiple of 16165 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 16165 and 16181 is 261565865.

LCM(16165,16181) = 261565865

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Least Common Multiple of 16165 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 16165 and 16181, than apply into the LCM equation.

GCF(16165,16181) = 1
LCM(16165,16181) = ( 16165 × 16181) / 1
LCM(16165,16181) = 261565865 / 1
LCM(16165,16181) = 261565865

Least Common Multiple (LCM) of 16165 and 16181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16165 and 16181. First we will calculate the prime factors of 16165 and 16181.

Prime Factorization of 16165

Prime factors of 16165 are 5, 53, 61. Prime factorization of 16165 in exponential form is:

16165 = 51 × 531 × 611

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 16165 and 16181.

LCM(16165,16181) = 51 × 531 × 611 × 111 × 14711
LCM(16165,16181) = 261565865