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What is the Least Common Multiple of 11885 and 11896?

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 11885 and 11896 is 141383960.

LCM(11885,11896) = 141383960

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Least Common Multiple of 11885 and 11896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11885 and 11896, than apply into the LCM equation.

GCF(11885,11896) = 1
LCM(11885,11896) = ( 11885 × 11896) / 1
LCM(11885,11896) = 141383960 / 1
LCM(11885,11896) = 141383960

Least Common Multiple (LCM) of 11885 and 11896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11885 and 11896. First we will calculate the prime factors of 11885 and 11896.

Prime Factorization of 11885

Prime factors of 11885 are 5, 2377. Prime factorization of 11885 in exponential form is:

11885 = 51 × 23771

Prime Factorization of 11896

Prime factors of 11896 are 2, 1487. Prime factorization of 11896 in exponential form is:

11896 = 23 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 11885 and 11896.

LCM(11885,11896) = 51 × 23771 × 23 × 14871
LCM(11885,11896) = 141383960