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What is the Least Common Multiple of 24247 and 24261?

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 24247 and 24261 is 588256467.

LCM(24247,24261) = 588256467

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Least Common Multiple of 24247 and 24261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24247 and 24261, than apply into the LCM equation.

GCF(24247,24261) = 1
LCM(24247,24261) = ( 24247 × 24261) / 1
LCM(24247,24261) = 588256467 / 1
LCM(24247,24261) = 588256467

Least Common Multiple (LCM) of 24247 and 24261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24247 and 24261. First we will calculate the prime factors of 24247 and 24261.

Prime Factorization of 24247

Prime factors of 24247 are 24247. Prime factorization of 24247 in exponential form is:

24247 = 242471

Prime Factorization of 24261

Prime factors of 24261 are 3, 8087. Prime factorization of 24261 in exponential form is:

24261 = 31 × 80871

Now multiplying the highest exponent prime factors to calculate the LCM of 24247 and 24261.

LCM(24247,24261) = 242471 × 31 × 80871
LCM(24247,24261) = 588256467