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What is the Least Common Multiple of 11677 and 11687?

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 11677 and 11687 is 136469099.

LCM(11677,11687) = 136469099

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Least Common Multiple of 11677 and 11687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11677 and 11687, than apply into the LCM equation.

GCF(11677,11687) = 1
LCM(11677,11687) = ( 11677 × 11687) / 1
LCM(11677,11687) = 136469099 / 1
LCM(11677,11687) = 136469099

Least Common Multiple (LCM) of 11677 and 11687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11677 and 11687. First we will calculate the prime factors of 11677 and 11687.

Prime Factorization of 11677

Prime factors of 11677 are 11677. Prime factorization of 11677 in exponential form is:

11677 = 116771

Prime Factorization of 11687

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

11687 = 131 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 11677 and 11687.

LCM(11677,11687) = 116771 × 131 × 291 × 311
LCM(11677,11687) = 136469099