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What is the Least Common Multiple of 5909 and 5919?

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 5919 is 34975371.

LCM(5909,5919) = 34975371

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Least Common Multiple of 5909 and 5919 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 5919, than apply into the LCM equation.

GCF(5909,5919) = 1
LCM(5909,5919) = ( 5909 × 5919) / 1
LCM(5909,5919) = 34975371 / 1
LCM(5909,5919) = 34975371

Least Common Multiple (LCM) of 5909 and 5919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5909 and 5919. First we will calculate the prime factors of 5909 and 5919.

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 5919

Prime factors of 5919 are 3, 1973. Prime factorization of 5919 in exponential form is:

5919 = 31 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 5909 and 5919.

LCM(5909,5919) = 191 × 3111 × 31 × 19731
LCM(5909,5919) = 34975371