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What is the Least Common Multiple of 5891 and 5910?

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 5891 and 5910 is 34815810.

LCM(5891,5910) = 34815810

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Least Common Multiple of 5891 and 5910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5891 and 5910, than apply into the LCM equation.

GCF(5891,5910) = 1
LCM(5891,5910) = ( 5891 × 5910) / 1
LCM(5891,5910) = 34815810 / 1
LCM(5891,5910) = 34815810

Least Common Multiple (LCM) of 5891 and 5910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5891 and 5910. First we will calculate the prime factors of 5891 and 5910.

Prime Factorization of 5891

Prime factors of 5891 are 43, 137. Prime factorization of 5891 in exponential form is:

5891 = 431 × 1371

Prime Factorization of 5910

Prime factors of 5910 are 2, 3, 5, 197. Prime factorization of 5910 in exponential form is:

5910 = 21 × 31 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5891 and 5910.

LCM(5891,5910) = 431 × 1371 × 21 × 31 × 51 × 1971
LCM(5891,5910) = 34815810