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What is the Least Common Multiple of 43347 and 43361?

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 43347 and 43361 is 1879569267.

LCM(43347,43361) = 1879569267

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Least Common Multiple of 43347 and 43361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43347 and 43361, than apply into the LCM equation.

GCF(43347,43361) = 1
LCM(43347,43361) = ( 43347 × 43361) / 1
LCM(43347,43361) = 1879569267 / 1
LCM(43347,43361) = 1879569267

Least Common Multiple (LCM) of 43347 and 43361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43347 and 43361. First we will calculate the prime factors of 43347 and 43361.

Prime Factorization of 43347

Prime factors of 43347 are 3, 14449. Prime factorization of 43347 in exponential form is:

43347 = 31 × 144491

Prime Factorization of 43361

Prime factors of 43361 are 131, 331. Prime factorization of 43361 in exponential form is:

43361 = 1311 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 43347 and 43361.

LCM(43347,43361) = 31 × 144491 × 1311 × 3311
LCM(43347,43361) = 1879569267