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What is the Least Common Multiple of 2431 and 2444?

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 2431 and 2444 is 457028.

LCM(2431,2444) = 457028

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Least Common Multiple of 2431 and 2444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2431 and 2444, than apply into the LCM equation.

GCF(2431,2444) = 13
LCM(2431,2444) = ( 2431 × 2444) / 13
LCM(2431,2444) = 5941364 / 13
LCM(2431,2444) = 457028

Least Common Multiple (LCM) of 2431 and 2444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2431 and 2444. First we will calculate the prime factors of 2431 and 2444.

Prime Factorization of 2431

Prime factors of 2431 are 11, 13, 17. Prime factorization of 2431 in exponential form is:

2431 = 111 × 131 × 171

Prime Factorization of 2444

Prime factors of 2444 are 2, 13, 47. Prime factorization of 2444 in exponential form is:

2444 = 22 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2431 and 2444.

LCM(2431,2444) = 111 × 131 × 171 × 22 × 471
LCM(2431,2444) = 457028