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What is the Least Common Multiple of 2349 and 2353?

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 2349 and 2353 is 5527197.

LCM(2349,2353) = 5527197

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Least Common Multiple of 2349 and 2353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2349 and 2353, than apply into the LCM equation.

GCF(2349,2353) = 1
LCM(2349,2353) = ( 2349 × 2353) / 1
LCM(2349,2353) = 5527197 / 1
LCM(2349,2353) = 5527197

Least Common Multiple (LCM) of 2349 and 2353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2349 and 2353. First we will calculate the prime factors of 2349 and 2353.

Prime Factorization of 2349

Prime factors of 2349 are 3, 29. Prime factorization of 2349 in exponential form is:

2349 = 34 × 291

Prime Factorization of 2353

Prime factors of 2353 are 13, 181. Prime factorization of 2353 in exponential form is:

2353 = 131 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2349 and 2353.

LCM(2349,2353) = 34 × 291 × 131 × 1811
LCM(2349,2353) = 5527197