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What is the Least Common Multiple of 5828 and 5838?

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 5828 and 5838 is 17011932.

LCM(5828,5838) = 17011932

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Least Common Multiple of 5828 and 5838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5828 and 5838, than apply into the LCM equation.

GCF(5828,5838) = 2
LCM(5828,5838) = ( 5828 × 5838) / 2
LCM(5828,5838) = 34023864 / 2
LCM(5828,5838) = 17011932

Least Common Multiple (LCM) of 5828 and 5838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5828 and 5838. First we will calculate the prime factors of 5828 and 5838.

Prime Factorization of 5828

Prime factors of 5828 are 2, 31, 47. Prime factorization of 5828 in exponential form is:

5828 = 22 × 311 × 471

Prime Factorization of 5838

Prime factors of 5838 are 2, 3, 7, 139. Prime factorization of 5838 in exponential form is:

5838 = 21 × 31 × 71 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5828 and 5838.

LCM(5828,5838) = 22 × 311 × 471 × 31 × 71 × 1391
LCM(5828,5838) = 17011932