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What is the Least Common Multiple of 44379 and 44389?

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 44379 and 44389 is 1969939431.

LCM(44379,44389) = 1969939431

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Least Common Multiple of 44379 and 44389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44379 and 44389, than apply into the LCM equation.

GCF(44379,44389) = 1
LCM(44379,44389) = ( 44379 × 44389) / 1
LCM(44379,44389) = 1969939431 / 1
LCM(44379,44389) = 1969939431

Least Common Multiple (LCM) of 44379 and 44389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44379 and 44389. First we will calculate the prime factors of 44379 and 44389.

Prime Factorization of 44379

Prime factors of 44379 are 3, 4931. Prime factorization of 44379 in exponential form is:

44379 = 32 × 49311

Prime Factorization of 44389

Prime factors of 44389 are 44389. Prime factorization of 44389 in exponential form is:

44389 = 443891

Now multiplying the highest exponent prime factors to calculate the LCM of 44379 and 44389.

LCM(44379,44389) = 32 × 49311 × 443891
LCM(44379,44389) = 1969939431