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What is the Least Common Multiple of 24463 and 24473?

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 24463 and 24473 is 598682999.

LCM(24463,24473) = 598682999

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Least Common Multiple of 24463 and 24473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24463 and 24473, than apply into the LCM equation.

GCF(24463,24473) = 1
LCM(24463,24473) = ( 24463 × 24473) / 1
LCM(24463,24473) = 598682999 / 1
LCM(24463,24473) = 598682999

Least Common Multiple (LCM) of 24463 and 24473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24463 and 24473. First we will calculate the prime factors of 24463 and 24473.

Prime Factorization of 24463

Prime factors of 24463 are 17, 1439. Prime factorization of 24463 in exponential form is:

24463 = 171 × 14391

Prime Factorization of 24473

Prime factors of 24473 are 24473. Prime factorization of 24473 in exponential form is:

24473 = 244731

Now multiplying the highest exponent prime factors to calculate the LCM of 24463 and 24473.

LCM(24463,24473) = 171 × 14391 × 244731
LCM(24463,24473) = 598682999