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What is the Least Common Multiple of 16341 and 16348?

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 16348 is 267142668.

LCM(16341,16348) = 267142668

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Least Common Multiple of 16341 and 16348 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 16348, than apply into the LCM equation.

GCF(16341,16348) = 1
LCM(16341,16348) = ( 16341 × 16348) / 1
LCM(16341,16348) = 267142668 / 1
LCM(16341,16348) = 267142668

Least Common Multiple (LCM) of 16341 and 16348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16341 and 16348. First we will calculate the prime factors of 16341 and 16348.

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 16348

Prime factors of 16348 are 2, 61, 67. Prime factorization of 16348 in exponential form is:

16348 = 22 × 611 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 16341 and 16348.

LCM(16341,16348) = 31 × 131 × 4191 × 22 × 611 × 671
LCM(16341,16348) = 267142668