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What is the Least Common Multiple of 24421 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 24421 and 24441 is 596873661.

LCM(24421,24441) = 596873661

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Least Common Multiple of 24421 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 24421 and 24441, than apply into the LCM equation.

GCF(24421,24441) = 1
LCM(24421,24441) = ( 24421 × 24441) / 1
LCM(24421,24441) = 596873661 / 1
LCM(24421,24441) = 596873661

Least Common Multiple (LCM) of 24421 and 24441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24421 and 24441. First we will calculate the prime factors of 24421 and 24441.

Prime Factorization of 24421

Prime factors of 24421 are 24421. Prime factorization of 24421 in exponential form is:

24421 = 244211

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 24421 and 24441.

LCM(24421,24441) = 244211 × 31 × 81471
LCM(24421,24441) = 596873661