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What is the Least Common Multiple of 11799 and 11807?

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 11799 and 11807 is 139310793.

LCM(11799,11807) = 139310793

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Least Common Multiple of 11799 and 11807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11799 and 11807, than apply into the LCM equation.

GCF(11799,11807) = 1
LCM(11799,11807) = ( 11799 × 11807) / 1
LCM(11799,11807) = 139310793 / 1
LCM(11799,11807) = 139310793

Least Common Multiple (LCM) of 11799 and 11807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11799 and 11807. First we will calculate the prime factors of 11799 and 11807.

Prime Factorization of 11799

Prime factors of 11799 are 3, 19, 23. Prime factorization of 11799 in exponential form is:

11799 = 33 × 191 × 231

Prime Factorization of 11807

Prime factors of 11807 are 11807. Prime factorization of 11807 in exponential form is:

11807 = 118071

Now multiplying the highest exponent prime factors to calculate the LCM of 11799 and 11807.

LCM(11799,11807) = 33 × 191 × 231 × 118071
LCM(11799,11807) = 139310793