What is the Least Common Multiple of 13277 and 13294?

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 13277 and 13294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13277 and 13294, than apply into the LCM equation.

GCF(13277,13294) = 17
LCM(13277,13294) = ( 13277 × 13294) / 17
LCM(13277,13294) = 176504438 / 17
LCM(13277,13294) = 10382614

Least Common Multiple (LCM) of 13277 and 13294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13277 and 13294. First we will calculate the prime factors of 13277 and 13294.

Prime Factorization of 13277

Prime Factorization of 13294

Now multiplying the highest exponent prime factors to calculate the LCM of 13277 and 13294.

LCM(13277,13294) = 11¹ × 17² × 71¹ × 2¹ × 23¹
LCM(13277,13294) = 10382614