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What is the Least Common Multiple of 24027 and 24044?

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 24027 and 24044 is 577705188.

LCM(24027,24044) = 577705188

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Least Common Multiple of 24027 and 24044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24027 and 24044, than apply into the LCM equation.

GCF(24027,24044) = 1
LCM(24027,24044) = ( 24027 × 24044) / 1
LCM(24027,24044) = 577705188 / 1
LCM(24027,24044) = 577705188

Least Common Multiple (LCM) of 24027 and 24044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24027 and 24044. First we will calculate the prime factors of 24027 and 24044.

Prime Factorization of 24027

Prime factors of 24027 are 3, 8009. Prime factorization of 24027 in exponential form is:

24027 = 31 × 80091

Prime Factorization of 24044

Prime factors of 24044 are 2, 6011. Prime factorization of 24044 in exponential form is:

24044 = 22 × 60111

Now multiplying the highest exponent prime factors to calculate the LCM of 24027 and 24044.

LCM(24027,24044) = 31 × 80091 × 22 × 60111
LCM(24027,24044) = 577705188