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What is the Least Common Multiple of 13786 and 13806?

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 13786 and 13806 is 95164758.

LCM(13786,13806) = 95164758

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Least Common Multiple of 13786 and 13806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13786 and 13806, than apply into the LCM equation.

GCF(13786,13806) = 2
LCM(13786,13806) = ( 13786 × 13806) / 2
LCM(13786,13806) = 190329516 / 2
LCM(13786,13806) = 95164758

Least Common Multiple (LCM) of 13786 and 13806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13786 and 13806. First we will calculate the prime factors of 13786 and 13806.

Prime Factorization of 13786

Prime factors of 13786 are 2, 61, 113. Prime factorization of 13786 in exponential form is:

13786 = 21 × 611 × 1131

Prime Factorization of 13806

Prime factors of 13806 are 2, 3, 13, 59. Prime factorization of 13806 in exponential form is:

13806 = 21 × 32 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 13786 and 13806.

LCM(13786,13806) = 21 × 611 × 1131 × 32 × 131 × 591
LCM(13786,13806) = 95164758