What is the Least Common Multiple of 13706 and 13717?

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 of 13706 and 13717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13706 and 13717, than apply into the LCM equation.

GCF(13706,13717) = 11
LCM(13706,13717) = ( 13706 × 13717) / 11
LCM(13706,13717) = 188005202 / 11
LCM(13706,13717) = 17091382

Least Common Multiple (LCM) of 13706 and 13717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13706 and 13717. First we will calculate the prime factors of 13706 and 13717.

Prime Factorization of 13706

Prime Factorization of 13717

Now multiplying the highest exponent prime factors to calculate the LCM of 13706 and 13717.

LCM(13706,13717) = 2¹ × 7¹ × 11¹ × 89¹ × 29¹ × 43¹
LCM(13706,13717) = 17091382