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What is the Least Common Multiple of 16341 and 16349?

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 16341 and 16349 is 267159009.

LCM(16341,16349) = 267159009

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Least Common Multiple of 16341 and 16349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16341 and 16349, than apply into the LCM equation.

GCF(16341,16349) = 1
LCM(16341,16349) = ( 16341 × 16349) / 1
LCM(16341,16349) = 267159009 / 1
LCM(16341,16349) = 267159009

Least Common Multiple (LCM) of 16341 and 16349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16341 and 16349. First we will calculate the prime factors of 16341 and 16349.

Prime Factorization of 16341

Prime factors of 16341 are 3, 13, 419. Prime factorization of 16341 in exponential form is:

16341 = 31 × 131 × 4191

Prime Factorization of 16349

Prime factors of 16349 are 16349. Prime factorization of 16349 in exponential form is:

16349 = 163491

Now multiplying the highest exponent prime factors to calculate the LCM of 16341 and 16349.

LCM(16341,16349) = 31 × 131 × 4191 × 163491
LCM(16341,16349) = 267159009