What is the Least Common Multiple of 13335 and 13340?

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 13335 and 13340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13335 and 13340, than apply into the LCM equation.

GCF(13335,13340) = 5
LCM(13335,13340) = ( 13335 × 13340) / 5
LCM(13335,13340) = 177888900 / 5
LCM(13335,13340) = 35577780

Least Common Multiple (LCM) of 13335 and 13340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13335 and 13340. First we will calculate the prime factors of 13335 and 13340.

Prime Factorization of 13335

Prime Factorization of 13340

Now multiplying the highest exponent prime factors to calculate the LCM of 13335 and 13340.

LCM(13335,13340) = 3¹ × 5¹ × 7¹ × 127¹ × 2² × 23¹ × 29¹
LCM(13335,13340) = 35577780