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What is the Least Common Multiple of 44321 and 44332?

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 44321 and 44332 is 1964838572.

LCM(44321,44332) = 1964838572

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Least Common Multiple of 44321 and 44332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44321 and 44332, than apply into the LCM equation.

GCF(44321,44332) = 1
LCM(44321,44332) = ( 44321 × 44332) / 1
LCM(44321,44332) = 1964838572 / 1
LCM(44321,44332) = 1964838572

Least Common Multiple (LCM) of 44321 and 44332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44321 and 44332. First we will calculate the prime factors of 44321 and 44332.

Prime Factorization of 44321

Prime factors of 44321 are 23, 41, 47. Prime factorization of 44321 in exponential form is:

44321 = 231 × 411 × 471

Prime Factorization of 44332

Prime factors of 44332 are 2, 11083. Prime factorization of 44332 in exponential form is:

44332 = 22 × 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 44321 and 44332.

LCM(44321,44332) = 231 × 411 × 471 × 22 × 110831
LCM(44321,44332) = 1964838572