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What is the Least Common Multiple of 11793 and 11813?

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 11793 and 11813 is 139310709.

LCM(11793,11813) = 139310709

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Least Common Multiple of 11793 and 11813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11793 and 11813, than apply into the LCM equation.

GCF(11793,11813) = 1
LCM(11793,11813) = ( 11793 × 11813) / 1
LCM(11793,11813) = 139310709 / 1
LCM(11793,11813) = 139310709

Least Common Multiple (LCM) of 11793 and 11813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11793 and 11813. First we will calculate the prime factors of 11793 and 11813.

Prime Factorization of 11793

Prime factors of 11793 are 3, 3931. Prime factorization of 11793 in exponential form is:

11793 = 31 × 39311

Prime Factorization of 11813

Prime factors of 11813 are 11813. Prime factorization of 11813 in exponential form is:

11813 = 118131

Now multiplying the highest exponent prime factors to calculate the LCM of 11793 and 11813.

LCM(11793,11813) = 31 × 39311 × 118131
LCM(11793,11813) = 139310709