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What is the Least Common Multiple of 11184 and 11204?

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 11184 and 11204 is 31326384.

LCM(11184,11204) = 31326384

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Least Common Multiple of 11184 and 11204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11184 and 11204, than apply into the LCM equation.

GCF(11184,11204) = 4
LCM(11184,11204) = ( 11184 × 11204) / 4
LCM(11184,11204) = 125305536 / 4
LCM(11184,11204) = 31326384

Least Common Multiple (LCM) of 11184 and 11204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11184 and 11204. First we will calculate the prime factors of 11184 and 11204.

Prime Factorization of 11184

Prime factors of 11184 are 2, 3, 233. Prime factorization of 11184 in exponential form is:

11184 = 24 × 31 × 2331

Prime Factorization of 11204

Prime factors of 11204 are 2, 2801. Prime factorization of 11204 in exponential form is:

11204 = 22 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 11184 and 11204.

LCM(11184,11204) = 24 × 31 × 2331 × 28011
LCM(11184,11204) = 31326384