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What is the Least Common Multiple of 44354 and 44363?

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 44354 and 44363 is 1967676502.

LCM(44354,44363) = 1967676502

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Least Common Multiple of 44354 and 44363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44354 and 44363, than apply into the LCM equation.

GCF(44354,44363) = 1
LCM(44354,44363) = ( 44354 × 44363) / 1
LCM(44354,44363) = 1967676502 / 1
LCM(44354,44363) = 1967676502

Least Common Multiple (LCM) of 44354 and 44363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44354 and 44363. First we will calculate the prime factors of 44354 and 44363.

Prime Factorization of 44354

Prime factors of 44354 are 2, 67, 331. Prime factorization of 44354 in exponential form is:

44354 = 21 × 671 × 3311

Prime Factorization of 44363

Prime factors of 44363 are 11, 37, 109. Prime factorization of 44363 in exponential form is:

44363 = 111 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 44354 and 44363.

LCM(44354,44363) = 21 × 671 × 3311 × 111 × 371 × 1091
LCM(44354,44363) = 1967676502