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What is the Least Common Multiple of 24467 and 24484?

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 24467 and 24484 is 599050028.

LCM(24467,24484) = 599050028

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Least Common Multiple of 24467 and 24484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24467 and 24484, than apply into the LCM equation.

GCF(24467,24484) = 1
LCM(24467,24484) = ( 24467 × 24484) / 1
LCM(24467,24484) = 599050028 / 1
LCM(24467,24484) = 599050028

Least Common Multiple (LCM) of 24467 and 24484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24467 and 24484. First we will calculate the prime factors of 24467 and 24484.

Prime Factorization of 24467

Prime factors of 24467 are 43, 569. Prime factorization of 24467 in exponential form is:

24467 = 431 × 5691

Prime Factorization of 24484

Prime factors of 24484 are 2, 6121. Prime factorization of 24484 in exponential form is:

24484 = 22 × 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 24467 and 24484.

LCM(24467,24484) = 431 × 5691 × 22 × 61211
LCM(24467,24484) = 599050028