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What is the Least Common Multiple of 44392 and 44403?

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 44392 and 44403 is 1971137976.

LCM(44392,44403) = 1971137976

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Least Common Multiple of 44392 and 44403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44392 and 44403, than apply into the LCM equation.

GCF(44392,44403) = 1
LCM(44392,44403) = ( 44392 × 44403) / 1
LCM(44392,44403) = 1971137976 / 1
LCM(44392,44403) = 1971137976

Least Common Multiple (LCM) of 44392 and 44403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44392 and 44403. First we will calculate the prime factors of 44392 and 44403.

Prime Factorization of 44392

Prime factors of 44392 are 2, 31, 179. Prime factorization of 44392 in exponential form is:

44392 = 23 × 311 × 1791

Prime Factorization of 44403

Prime factors of 44403 are 3, 19, 41. Prime factorization of 44403 in exponential form is:

44403 = 31 × 192 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 44392 and 44403.

LCM(44392,44403) = 23 × 311 × 1791 × 31 × 192 × 411
LCM(44392,44403) = 1971137976