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What is the Least Common Multiple of 11804 and 11816?

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 11804 and 11816 is 34869016.

LCM(11804,11816) = 34869016

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Least Common Multiple of 11804 and 11816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11804 and 11816, than apply into the LCM equation.

GCF(11804,11816) = 4
LCM(11804,11816) = ( 11804 × 11816) / 4
LCM(11804,11816) = 139476064 / 4
LCM(11804,11816) = 34869016

Least Common Multiple (LCM) of 11804 and 11816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11804 and 11816. First we will calculate the prime factors of 11804 and 11816.

Prime Factorization of 11804

Prime factors of 11804 are 2, 13, 227. Prime factorization of 11804 in exponential form is:

11804 = 22 × 131 × 2271

Prime Factorization of 11816

Prime factors of 11816 are 2, 7, 211. Prime factorization of 11816 in exponential form is:

11816 = 23 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 11804 and 11816.

LCM(11804,11816) = 23 × 131 × 2271 × 71 × 2111
LCM(11804,11816) = 34869016