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What is the Least Common Multiple of 24434 and 24441?

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 24434 and 24441 is 597191394.

LCM(24434,24441) = 597191394

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Least Common Multiple of 24434 and 24441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24434 and 24441, than apply into the LCM equation.

GCF(24434,24441) = 1
LCM(24434,24441) = ( 24434 × 24441) / 1
LCM(24434,24441) = 597191394 / 1
LCM(24434,24441) = 597191394

Least Common Multiple (LCM) of 24434 and 24441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24434 and 24441. First we will calculate the prime factors of 24434 and 24441.

Prime Factorization of 24434

Prime factors of 24434 are 2, 19, 643. Prime factorization of 24434 in exponential form is:

24434 = 21 × 191 × 6431

Prime Factorization of 24441

Prime factors of 24441 are 3, 8147. Prime factorization of 24441 in exponential form is:

24441 = 31 × 81471

Now multiplying the highest exponent prime factors to calculate the LCM of 24434 and 24441.

LCM(24434,24441) = 21 × 191 × 6431 × 31 × 81471
LCM(24434,24441) = 597191394