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What is the Least Common Multiple of 44983 and 44999?

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 44983 and 44999 is 2024190017.

LCM(44983,44999) = 2024190017

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Least Common Multiple of 44983 and 44999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44983 and 44999, than apply into the LCM equation.

GCF(44983,44999) = 1
LCM(44983,44999) = ( 44983 × 44999) / 1
LCM(44983,44999) = 2024190017 / 1
LCM(44983,44999) = 2024190017

Least Common Multiple (LCM) of 44983 and 44999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44983 and 44999. First we will calculate the prime factors of 44983 and 44999.

Prime Factorization of 44983

Prime factors of 44983 are 44983. Prime factorization of 44983 in exponential form is:

44983 = 449831

Prime Factorization of 44999

Prime factors of 44999 are 17, 2647. Prime factorization of 44999 in exponential form is:

44999 = 171 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 44983 and 44999.

LCM(44983,44999) = 449831 × 171 × 26471
LCM(44983,44999) = 2024190017