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What is the Least Common Multiple of 2432 and 2438?

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 2432 and 2438 is 2964608.

LCM(2432,2438) = 2964608

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Least Common Multiple of 2432 and 2438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2432 and 2438, than apply into the LCM equation.

GCF(2432,2438) = 2
LCM(2432,2438) = ( 2432 × 2438) / 2
LCM(2432,2438) = 5929216 / 2
LCM(2432,2438) = 2964608

Least Common Multiple (LCM) of 2432 and 2438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2438. First we will calculate the prime factors of 2432 and 2438.

Prime Factorization of 2432

Prime factors of 2432 are 2, 19. Prime factorization of 2432 in exponential form is:

2432 = 27 × 191

Prime Factorization of 2438

Prime factors of 2438 are 2, 23, 53. Prime factorization of 2438 in exponential form is:

2438 = 21 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 2432 and 2438.

LCM(2432,2438) = 27 × 191 × 231 × 531
LCM(2432,2438) = 2964608