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What is the Least Common Multiple of 11187 and 11196?

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 11187 and 11196 is 13916628.

LCM(11187,11196) = 13916628

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Least Common Multiple of 11187 and 11196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11187 and 11196, than apply into the LCM equation.

GCF(11187,11196) = 9
LCM(11187,11196) = ( 11187 × 11196) / 9
LCM(11187,11196) = 125249652 / 9
LCM(11187,11196) = 13916628

Least Common Multiple (LCM) of 11187 and 11196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11187 and 11196. First we will calculate the prime factors of 11187 and 11196.

Prime Factorization of 11187

Prime factors of 11187 are 3, 11, 113. Prime factorization of 11187 in exponential form is:

11187 = 32 × 111 × 1131

Prime Factorization of 11196

Prime factors of 11196 are 2, 3, 311. Prime factorization of 11196 in exponential form is:

11196 = 22 × 32 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 11187 and 11196.

LCM(11187,11196) = 32 × 111 × 1131 × 22 × 3111
LCM(11187,11196) = 13916628