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What is the Least Common Multiple of 44428 and 44437?

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 44428 and 44437 is 1974247036.

LCM(44428,44437) = 1974247036

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Least Common Multiple of 44428 and 44437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44428 and 44437, than apply into the LCM equation.

GCF(44428,44437) = 1
LCM(44428,44437) = ( 44428 × 44437) / 1
LCM(44428,44437) = 1974247036 / 1
LCM(44428,44437) = 1974247036

Least Common Multiple (LCM) of 44428 and 44437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44428 and 44437. First we will calculate the prime factors of 44428 and 44437.

Prime Factorization of 44428

Prime factors of 44428 are 2, 29, 383. Prime factorization of 44428 in exponential form is:

44428 = 22 × 291 × 3831

Prime Factorization of 44437

Prime factors of 44437 are 37, 1201. Prime factorization of 44437 in exponential form is:

44437 = 371 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 44428 and 44437.

LCM(44428,44437) = 22 × 291 × 3831 × 371 × 12011
LCM(44428,44437) = 1974247036