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What is the Least Common Multiple of 11906 and 11911?

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 11906 and 11911 is 141812366.

LCM(11906,11911) = 141812366

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Least Common Multiple of 11906 and 11911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11906 and 11911, than apply into the LCM equation.

GCF(11906,11911) = 1
LCM(11906,11911) = ( 11906 × 11911) / 1
LCM(11906,11911) = 141812366 / 1
LCM(11906,11911) = 141812366

Least Common Multiple (LCM) of 11906 and 11911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11906 and 11911. First we will calculate the prime factors of 11906 and 11911.

Prime Factorization of 11906

Prime factors of 11906 are 2, 5953. Prime factorization of 11906 in exponential form is:

11906 = 21 × 59531

Prime Factorization of 11911

Prime factors of 11911 are 43, 277. Prime factorization of 11911 in exponential form is:

11911 = 431 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 11906 and 11911.

LCM(11906,11911) = 21 × 59531 × 431 × 2771
LCM(11906,11911) = 141812366