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What is the Least Common Multiple of 11908 and 11917?

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 11908 and 11917 is 141907636.

LCM(11908,11917) = 141907636

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Least Common Multiple of 11908 and 11917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11908 and 11917, than apply into the LCM equation.

GCF(11908,11917) = 1
LCM(11908,11917) = ( 11908 × 11917) / 1
LCM(11908,11917) = 141907636 / 1
LCM(11908,11917) = 141907636

Least Common Multiple (LCM) of 11908 and 11917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11908 and 11917. First we will calculate the prime factors of 11908 and 11917.

Prime Factorization of 11908

Prime factors of 11908 are 2, 13, 229. Prime factorization of 11908 in exponential form is:

11908 = 22 × 131 × 2291

Prime Factorization of 11917

Prime factors of 11917 are 17, 701. Prime factorization of 11917 in exponential form is:

11917 = 171 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 11908 and 11917.

LCM(11908,11917) = 22 × 131 × 2291 × 171 × 7011
LCM(11908,11917) = 141907636