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What is the Least Common Multiple of 11767 and 11779?

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 11767 and 11779 is 138603493.

LCM(11767,11779) = 138603493

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Least Common Multiple of 11767 and 11779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11767 and 11779, than apply into the LCM equation.

GCF(11767,11779) = 1
LCM(11767,11779) = ( 11767 × 11779) / 1
LCM(11767,11779) = 138603493 / 1
LCM(11767,11779) = 138603493

Least Common Multiple (LCM) of 11767 and 11779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11767 and 11779. First we will calculate the prime factors of 11767 and 11779.

Prime Factorization of 11767

Prime factors of 11767 are 7, 41. Prime factorization of 11767 in exponential form is:

11767 = 71 × 412

Prime Factorization of 11779

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

11779 = 117791

Now multiplying the highest exponent prime factors to calculate the LCM of 11767 and 11779.

LCM(11767,11779) = 71 × 412 × 117791
LCM(11767,11779) = 138603493