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What is the Least Common Multiple of 24430 and 24443?

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 24430 and 24443 is 597142490.

LCM(24430,24443) = 597142490

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Least Common Multiple of 24430 and 24443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24430 and 24443, than apply into the LCM equation.

GCF(24430,24443) = 1
LCM(24430,24443) = ( 24430 × 24443) / 1
LCM(24430,24443) = 597142490 / 1
LCM(24430,24443) = 597142490

Least Common Multiple (LCM) of 24430 and 24443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24430 and 24443. First we will calculate the prime factors of 24430 and 24443.

Prime Factorization of 24430

Prime factors of 24430 are 2, 5, 7, 349. Prime factorization of 24430 in exponential form is:

24430 = 21 × 51 × 71 × 3491

Prime Factorization of 24443

Prime factors of 24443 are 24443. Prime factorization of 24443 in exponential form is:

24443 = 244431

Now multiplying the highest exponent prime factors to calculate the LCM of 24430 and 24443.

LCM(24430,24443) = 21 × 51 × 71 × 3491 × 244431
LCM(24430,24443) = 597142490