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What is the Least Common Multiple of 11819 and 11831?

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 11819 and 11831 is 139830589.

LCM(11819,11831) = 139830589

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Least Common Multiple of 11819 and 11831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11819 and 11831, than apply into the LCM equation.

GCF(11819,11831) = 1
LCM(11819,11831) = ( 11819 × 11831) / 1
LCM(11819,11831) = 139830589 / 1
LCM(11819,11831) = 139830589

Least Common Multiple (LCM) of 11819 and 11831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11819 and 11831. First we will calculate the prime factors of 11819 and 11831.

Prime Factorization of 11819

Prime factors of 11819 are 53, 223. Prime factorization of 11819 in exponential form is:

11819 = 531 × 2231

Prime Factorization of 11831

Prime factors of 11831 are 11831. Prime factorization of 11831 in exponential form is:

11831 = 118311

Now multiplying the highest exponent prime factors to calculate the LCM of 11819 and 11831.

LCM(11819,11831) = 531 × 2231 × 118311
LCM(11819,11831) = 139830589