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What is the Least Common Multiple of 11889 and 11905?

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 11889 and 11905 is 141538545.

LCM(11889,11905) = 141538545

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Least Common Multiple of 11889 and 11905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11889 and 11905, than apply into the LCM equation.

GCF(11889,11905) = 1
LCM(11889,11905) = ( 11889 × 11905) / 1
LCM(11889,11905) = 141538545 / 1
LCM(11889,11905) = 141538545

Least Common Multiple (LCM) of 11889 and 11905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11889 and 11905. First we will calculate the prime factors of 11889 and 11905.

Prime Factorization of 11889

Prime factors of 11889 are 3, 1321. Prime factorization of 11889 in exponential form is:

11889 = 32 × 13211

Prime Factorization of 11905

Prime factors of 11905 are 5, 2381. Prime factorization of 11905 in exponential form is:

11905 = 51 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 11889 and 11905.

LCM(11889,11905) = 32 × 13211 × 51 × 23811
LCM(11889,11905) = 141538545