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What is the Least Common Multiple of 44339 and 44349?

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 44339 and 44349 is 1966390311.

LCM(44339,44349) = 1966390311

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Least Common Multiple of 44339 and 44349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44339 and 44349, than apply into the LCM equation.

GCF(44339,44349) = 1
LCM(44339,44349) = ( 44339 × 44349) / 1
LCM(44339,44349) = 1966390311 / 1
LCM(44339,44349) = 1966390311

Least Common Multiple (LCM) of 44339 and 44349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44339 and 44349. First we will calculate the prime factors of 44339 and 44349.

Prime Factorization of 44339

Prime factors of 44339 are 101, 439. Prime factorization of 44339 in exponential form is:

44339 = 1011 × 4391

Prime Factorization of 44349

Prime factors of 44349 are 3, 14783. Prime factorization of 44349 in exponential form is:

44349 = 31 × 147831

Now multiplying the highest exponent prime factors to calculate the LCM of 44339 and 44349.

LCM(44339,44349) = 1011 × 4391 × 31 × 147831
LCM(44339,44349) = 1966390311