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What is the Least Common Multiple of 11808 and 11817?

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 11808 and 11817 is 15503904.

LCM(11808,11817) = 15503904

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Least Common Multiple of 11808 and 11817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11808 and 11817, than apply into the LCM equation.

GCF(11808,11817) = 9
LCM(11808,11817) = ( 11808 × 11817) / 9
LCM(11808,11817) = 139535136 / 9
LCM(11808,11817) = 15503904

Least Common Multiple (LCM) of 11808 and 11817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11808 and 11817. First we will calculate the prime factors of 11808 and 11817.

Prime Factorization of 11808

Prime factors of 11808 are 2, 3, 41. Prime factorization of 11808 in exponential form is:

11808 = 25 × 32 × 411

Prime Factorization of 11817

Prime factors of 11817 are 3, 13, 101. Prime factorization of 11817 in exponential form is:

11817 = 32 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 11808 and 11817.

LCM(11808,11817) = 25 × 32 × 411 × 131 × 1011
LCM(11808,11817) = 15503904