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What is the Least Common Multiple of 11788 and 11795?

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 11788 and 11795 is 19862780.

LCM(11788,11795) = 19862780

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Least Common Multiple of 11788 and 11795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11788 and 11795, than apply into the LCM equation.

GCF(11788,11795) = 7
LCM(11788,11795) = ( 11788 × 11795) / 7
LCM(11788,11795) = 139039460 / 7
LCM(11788,11795) = 19862780

Least Common Multiple (LCM) of 11788 and 11795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11788 and 11795. First we will calculate the prime factors of 11788 and 11795.

Prime Factorization of 11788

Prime factors of 11788 are 2, 7, 421. Prime factorization of 11788 in exponential form is:

11788 = 22 × 71 × 4211

Prime Factorization of 11795

Prime factors of 11795 are 5, 7, 337. Prime factorization of 11795 in exponential form is:

11795 = 51 × 71 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 11788 and 11795.

LCM(11788,11795) = 22 × 71 × 4211 × 51 × 3371
LCM(11788,11795) = 19862780