What is the Least Common Multiple of 13355 and 13373?

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 13355 and 13373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13355 and 13373, than apply into the LCM equation.

GCF(13355,13373) = 1
LCM(13355,13373) = ( 13355 × 13373) / 1
LCM(13355,13373) = 178596415 / 1
LCM(13355,13373) = 178596415

Least Common Multiple (LCM) of 13355 and 13373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13355 and 13373. First we will calculate the prime factors of 13355 and 13373.

Prime Factorization of 13355

Prime Factorization of 13373

Now multiplying the highest exponent prime factors to calculate the LCM of 13355 and 13373.

LCM(13355,13373) = 5¹ × 2671¹ × 43¹ × 311¹
LCM(13355,13373) = 178596415