GCF and LCM Calculator Logo

What is the Least Common Multiple of 24443 and 24459?

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 24443 and 24459 is 597851337.

LCM(24443,24459) = 597851337

LCM Calculator and
and

Least Common Multiple of 24443 and 24459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24443 and 24459, than apply into the LCM equation.

GCF(24443,24459) = 1
LCM(24443,24459) = ( 24443 × 24459) / 1
LCM(24443,24459) = 597851337 / 1
LCM(24443,24459) = 597851337

Least Common Multiple (LCM) of 24443 and 24459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24443 and 24459. First we will calculate the prime factors of 24443 and 24459.

Prime Factorization of 24443

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

24443 = 244431

Prime Factorization of 24459

Prime factors of 24459 are 3, 31, 263. Prime factorization of 24459 in exponential form is:

24459 = 31 × 311 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 24443 and 24459.

LCM(24443,24459) = 244431 × 31 × 311 × 2631
LCM(24443,24459) = 597851337