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What is the Least Common Multiple of 13659 and 13676?

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 13659 and 13676 is 186800484.

LCM(13659,13676) = 186800484

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Least Common Multiple of 13659 and 13676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13659 and 13676, than apply into the LCM equation.

GCF(13659,13676) = 1
LCM(13659,13676) = ( 13659 × 13676) / 1
LCM(13659,13676) = 186800484 / 1
LCM(13659,13676) = 186800484

Least Common Multiple (LCM) of 13659 and 13676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13659 and 13676. First we will calculate the prime factors of 13659 and 13676.

Prime Factorization of 13659

Prime factors of 13659 are 3, 29, 157. Prime factorization of 13659 in exponential form is:

13659 = 31 × 291 × 1571

Prime Factorization of 13676

Prime factors of 13676 are 2, 13, 263. Prime factorization of 13676 in exponential form is:

13676 = 22 × 131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 13659 and 13676.

LCM(13659,13676) = 31 × 291 × 1571 × 22 × 131 × 2631
LCM(13659,13676) = 186800484