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What is the Least Common Multiple of 11689 and 11695?

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 11689 and 11695 is 136702855.

LCM(11689,11695) = 136702855

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Least Common Multiple of 11689 and 11695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11689 and 11695, than apply into the LCM equation.

GCF(11689,11695) = 1
LCM(11689,11695) = ( 11689 × 11695) / 1
LCM(11689,11695) = 136702855 / 1
LCM(11689,11695) = 136702855

Least Common Multiple (LCM) of 11689 and 11695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11689 and 11695. First we will calculate the prime factors of 11689 and 11695.

Prime Factorization of 11689

Prime factors of 11689 are 11689. Prime factorization of 11689 in exponential form is:

11689 = 116891

Prime Factorization of 11695

Prime factors of 11695 are 5, 2339. Prime factorization of 11695 in exponential form is:

11695 = 51 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 11689 and 11695.

LCM(11689,11695) = 116891 × 51 × 23391
LCM(11689,11695) = 136702855