What is the Least Common Multiple of 13371 and 13386?

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 13371 and 13386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13371 and 13386, than apply into the LCM equation.

GCF(13371,13386) = 3
LCM(13371,13386) = ( 13371 × 13386) / 3
LCM(13371,13386) = 178984206 / 3
LCM(13371,13386) = 59661402

Least Common Multiple (LCM) of 13371 and 13386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13371 and 13386. First we will calculate the prime factors of 13371 and 13386.

Prime Factorization of 13371

Prime Factorization of 13386

Now multiplying the highest exponent prime factors to calculate the LCM of 13371 and 13386.

LCM(13371,13386) = 3¹ × 4457¹ × 2¹ × 23¹ × 97¹
LCM(13371,13386) = 59661402