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What is the Least Common Multiple of 11809 and 11829?

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 11809 and 11829 is 139688661.

LCM(11809,11829) = 139688661

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Least Common Multiple of 11809 and 11829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11809 and 11829, than apply into the LCM equation.

GCF(11809,11829) = 1
LCM(11809,11829) = ( 11809 × 11829) / 1
LCM(11809,11829) = 139688661 / 1
LCM(11809,11829) = 139688661

Least Common Multiple (LCM) of 11809 and 11829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11809 and 11829. First we will calculate the prime factors of 11809 and 11829.

Prime Factorization of 11809

Prime factors of 11809 are 7, 241. Prime factorization of 11809 in exponential form is:

11809 = 72 × 2411

Prime Factorization of 11829

Prime factors of 11829 are 3, 3943. Prime factorization of 11829 in exponential form is:

11829 = 31 × 39431

Now multiplying the highest exponent prime factors to calculate the LCM of 11809 and 11829.

LCM(11809,11829) = 72 × 2411 × 31 × 39431
LCM(11809,11829) = 139688661