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What is the Least Common Multiple of 11687 and 11707?

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 11687 and 11707 is 136819709.

LCM(11687,11707) = 136819709

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Least Common Multiple of 11687 and 11707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11687 and 11707, than apply into the LCM equation.

GCF(11687,11707) = 1
LCM(11687,11707) = ( 11687 × 11707) / 1
LCM(11687,11707) = 136819709 / 1
LCM(11687,11707) = 136819709

Least Common Multiple (LCM) of 11687 and 11707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11687 and 11707. First we will calculate the prime factors of 11687 and 11707.

Prime Factorization of 11687

Prime factors of 11687 are 13, 29, 31. Prime factorization of 11687 in exponential form is:

11687 = 131 × 291 × 311

Prime Factorization of 11707

Prime factors of 11707 are 23, 509. Prime factorization of 11707 in exponential form is:

11707 = 231 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 11687 and 11707.

LCM(11687,11707) = 131 × 291 × 311 × 231 × 5091
LCM(11687,11707) = 136819709