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What is the Least Common Multiple of 44483 and 44503?

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 44483 and 44503 is 1979626949.

LCM(44483,44503) = 1979626949

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Least Common Multiple of 44483 and 44503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44483 and 44503, than apply into the LCM equation.

GCF(44483,44503) = 1
LCM(44483,44503) = ( 44483 × 44503) / 1
LCM(44483,44503) = 1979626949 / 1
LCM(44483,44503) = 1979626949

Least Common Multiple (LCM) of 44483 and 44503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44483 and 44503. First we will calculate the prime factors of 44483 and 44503.

Prime Factorization of 44483

Prime factors of 44483 are 44483. Prime factorization of 44483 in exponential form is:

44483 = 444831

Prime Factorization of 44503

Prime factors of 44503 are 191, 233. Prime factorization of 44503 in exponential form is:

44503 = 1911 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 44483 and 44503.

LCM(44483,44503) = 444831 × 1911 × 2331
LCM(44483,44503) = 1979626949