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What is the Least Common Multiple of 11853 and 11865?

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 11853 and 11865 is 46878615.

LCM(11853,11865) = 46878615

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Least Common Multiple of 11853 and 11865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11853 and 11865, than apply into the LCM equation.

GCF(11853,11865) = 3
LCM(11853,11865) = ( 11853 × 11865) / 3
LCM(11853,11865) = 140635845 / 3
LCM(11853,11865) = 46878615

Least Common Multiple (LCM) of 11853 and 11865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11853 and 11865. First we will calculate the prime factors of 11853 and 11865.

Prime Factorization of 11853

Prime factors of 11853 are 3, 439. Prime factorization of 11853 in exponential form is:

11853 = 33 × 4391

Prime Factorization of 11865

Prime factors of 11865 are 3, 5, 7, 113. Prime factorization of 11865 in exponential form is:

11865 = 31 × 51 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 11853 and 11865.

LCM(11853,11865) = 33 × 4391 × 51 × 71 × 1131
LCM(11853,11865) = 46878615