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What is the Least Common Multiple of 5909 and 5914?

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 5909 and 5914 is 34945826.

LCM(5909,5914) = 34945826

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Least Common Multiple of 5909 and 5914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5909 and 5914, than apply into the LCM equation.

GCF(5909,5914) = 1
LCM(5909,5914) = ( 5909 × 5914) / 1
LCM(5909,5914) = 34945826 / 1
LCM(5909,5914) = 34945826

Least Common Multiple (LCM) of 5909 and 5914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5909 and 5914. First we will calculate the prime factors of 5909 and 5914.

Prime Factorization of 5909

Prime factors of 5909 are 19, 311. Prime factorization of 5909 in exponential form is:

5909 = 191 × 3111

Prime Factorization of 5914

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

5914 = 21 × 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 5909 and 5914.

LCM(5909,5914) = 191 × 3111 × 21 × 29571
LCM(5909,5914) = 34945826