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What is the Least Common Multiple of 24469 and 24482?

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 24469 and 24482 is 599050058.

LCM(24469,24482) = 599050058

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Least Common Multiple of 24469 and 24482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24469 and 24482, than apply into the LCM equation.

GCF(24469,24482) = 1
LCM(24469,24482) = ( 24469 × 24482) / 1
LCM(24469,24482) = 599050058 / 1
LCM(24469,24482) = 599050058

Least Common Multiple (LCM) of 24469 and 24482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24469 and 24482. First we will calculate the prime factors of 24469 and 24482.

Prime Factorization of 24469

Prime factors of 24469 are 24469. Prime factorization of 24469 in exponential form is:

24469 = 244691

Prime Factorization of 24482

Prime factors of 24482 are 2, 12241. Prime factorization of 24482 in exponential form is:

24482 = 21 × 122411

Now multiplying the highest exponent prime factors to calculate the LCM of 24469 and 24482.

LCM(24469,24482) = 244691 × 21 × 122411
LCM(24469,24482) = 599050058