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What is the Least Common Multiple of 5914 and 5933?

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 5914 and 5933 is 35087762.

LCM(5914,5933) = 35087762

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Least Common Multiple of 5914 and 5933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5914 and 5933, than apply into the LCM equation.

GCF(5914,5933) = 1
LCM(5914,5933) = ( 5914 × 5933) / 1
LCM(5914,5933) = 35087762 / 1
LCM(5914,5933) = 35087762

Least Common Multiple (LCM) of 5914 and 5933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5914 and 5933. First we will calculate the prime factors of 5914 and 5933.

Prime Factorization of 5914

Prime factors of 5914 are 2, 2957. Prime factorization of 5914 in exponential form is:

5914 = 21 × 29571

Prime Factorization of 5933

Prime factors of 5933 are 17, 349. Prime factorization of 5933 in exponential form is:

5933 = 171 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5914 and 5933.

LCM(5914,5933) = 21 × 29571 × 171 × 3491
LCM(5914,5933) = 35087762