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What is the Least Common Multiple of 44082 and 44089?

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 44082 and 44089 is 1943531298.

LCM(44082,44089) = 1943531298

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Least Common Multiple of 44082 and 44089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44082 and 44089, than apply into the LCM equation.

GCF(44082,44089) = 1
LCM(44082,44089) = ( 44082 × 44089) / 1
LCM(44082,44089) = 1943531298 / 1
LCM(44082,44089) = 1943531298

Least Common Multiple (LCM) of 44082 and 44089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44082 and 44089. First we will calculate the prime factors of 44082 and 44089.

Prime Factorization of 44082

Prime factors of 44082 are 2, 3, 31, 79. Prime factorization of 44082 in exponential form is:

44082 = 21 × 32 × 311 × 791

Prime Factorization of 44089

Prime factors of 44089 are 44089. Prime factorization of 44089 in exponential form is:

44089 = 440891

Now multiplying the highest exponent prime factors to calculate the LCM of 44082 and 44089.

LCM(44082,44089) = 21 × 32 × 311 × 791 × 440891
LCM(44082,44089) = 1943531298