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What is the Least Common Multiple of 5930 and 5947?

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 5930 and 5947 is 35265710.

LCM(5930,5947) = 35265710

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Least Common Multiple of 5930 and 5947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5930 and 5947, than apply into the LCM equation.

GCF(5930,5947) = 1
LCM(5930,5947) = ( 5930 × 5947) / 1
LCM(5930,5947) = 35265710 / 1
LCM(5930,5947) = 35265710

Least Common Multiple (LCM) of 5930 and 5947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5930 and 5947. First we will calculate the prime factors of 5930 and 5947.

Prime Factorization of 5930

Prime factors of 5930 are 2, 5, 593. Prime factorization of 5930 in exponential form is:

5930 = 21 × 51 × 5931

Prime Factorization of 5947

Prime factors of 5947 are 19, 313. Prime factorization of 5947 in exponential form is:

5947 = 191 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 5930 and 5947.

LCM(5930,5947) = 21 × 51 × 5931 × 191 × 3131
LCM(5930,5947) = 35265710