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What is the Least Common Multiple of 11779 and 11794?

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 11779 and 11794 is 138921526.

LCM(11779,11794) = 138921526

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Least Common Multiple of 11779 and 11794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11779 and 11794, than apply into the LCM equation.

GCF(11779,11794) = 1
LCM(11779,11794) = ( 11779 × 11794) / 1
LCM(11779,11794) = 138921526 / 1
LCM(11779,11794) = 138921526

Least Common Multiple (LCM) of 11779 and 11794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11779 and 11794. First we will calculate the prime factors of 11779 and 11794.

Prime Factorization of 11779

Prime factors of 11779 are 11779. Prime factorization of 11779 in exponential form is:

11779 = 117791

Prime Factorization of 11794

Prime factors of 11794 are 2, 5897. Prime factorization of 11794 in exponential form is:

11794 = 21 × 58971

Now multiplying the highest exponent prime factors to calculate the LCM of 11779 and 11794.

LCM(11779,11794) = 117791 × 21 × 58971
LCM(11779,11794) = 138921526