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What is the Least Common Multiple of 11876 and 11895?

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 11876 and 11895 is 141265020.

LCM(11876,11895) = 141265020

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Least Common Multiple of 11876 and 11895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11876 and 11895, than apply into the LCM equation.

GCF(11876,11895) = 1
LCM(11876,11895) = ( 11876 × 11895) / 1
LCM(11876,11895) = 141265020 / 1
LCM(11876,11895) = 141265020

Least Common Multiple (LCM) of 11876 and 11895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11876 and 11895. First we will calculate the prime factors of 11876 and 11895.

Prime Factorization of 11876

Prime factors of 11876 are 2, 2969. Prime factorization of 11876 in exponential form is:

11876 = 22 × 29691

Prime Factorization of 11895

Prime factors of 11895 are 3, 5, 13, 61. Prime factorization of 11895 in exponential form is:

11895 = 31 × 51 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 11876 and 11895.

LCM(11876,11895) = 22 × 29691 × 31 × 51 × 131 × 611
LCM(11876,11895) = 141265020