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What is the Least Common Multiple of 16165 and 16174?

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 16174 is 261452710.

LCM(16165,16174) = 261452710

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Least Common Multiple of 16165 and 16174 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 16174, than apply into the LCM equation.

GCF(16165,16174) = 1
LCM(16165,16174) = ( 16165 × 16174) / 1
LCM(16165,16174) = 261452710 / 1
LCM(16165,16174) = 261452710

Least Common Multiple (LCM) of 16165 and 16174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16165 and 16174. First we will calculate the prime factors of 16165 and 16174.

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 16174

Prime factors of 16174 are 2, 8087. Prime factorization of 16174 in exponential form is:

16174 = 21 × 80871

Now multiplying the highest exponent prime factors to calculate the LCM of 16165 and 16174.

LCM(16165,16174) = 51 × 531 × 611 × 21 × 80871
LCM(16165,16174) = 261452710