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What is the Least Common Multiple of 16341 and 16353?

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 16353 is 89074791.

LCM(16341,16353) = 89074791

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Least Common Multiple of 16341 and 16353 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 16353, than apply into the LCM equation.

GCF(16341,16353) = 3
LCM(16341,16353) = ( 16341 × 16353) / 3
LCM(16341,16353) = 267224373 / 3
LCM(16341,16353) = 89074791

Least Common Multiple (LCM) of 16341 and 16353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16341 and 16353. First we will calculate the prime factors of 16341 and 16353.

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 16353

Prime factors of 16353 are 3, 23, 79. Prime factorization of 16353 in exponential form is:

16353 = 32 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 16341 and 16353.

LCM(16341,16353) = 32 × 131 × 4191 × 231 × 791
LCM(16341,16353) = 89074791