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What is the Least Common Multiple of 4334 and 4353?

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 4334 and 4353 is 18865902.

LCM(4334,4353) = 18865902

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Least Common Multiple of 4334 and 4353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4334 and 4353, than apply into the LCM equation.

GCF(4334,4353) = 1
LCM(4334,4353) = ( 4334 × 4353) / 1
LCM(4334,4353) = 18865902 / 1
LCM(4334,4353) = 18865902

Least Common Multiple (LCM) of 4334 and 4353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4334 and 4353. First we will calculate the prime factors of 4334 and 4353.

Prime Factorization of 4334

Prime factors of 4334 are 2, 11, 197. Prime factorization of 4334 in exponential form is:

4334 = 21 × 111 × 1971

Prime Factorization of 4353

Prime factors of 4353 are 3, 1451. Prime factorization of 4353 in exponential form is:

4353 = 31 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 4334 and 4353.

LCM(4334,4353) = 21 × 111 × 1971 × 31 × 14511
LCM(4334,4353) = 18865902