What is the Least Common Multiple of 1335 and 1340?

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 1335 and 1340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1335 and 1340, than apply into the LCM equation.

GCF(1335,1340) = 5
LCM(1335,1340) = ( 1335 × 1340) / 5
LCM(1335,1340) = 1788900 / 5
LCM(1335,1340) = 357780

Least Common Multiple (LCM) of 1335 and 1340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1335 and 1340. First we will calculate the prime factors of 1335 and 1340.

Prime Factorization of 1335

Prime Factorization of 1340

Now multiplying the highest exponent prime factors to calculate the LCM of 1335 and 1340.

LCM(1335,1340) = 3¹ × 5¹ × 89¹ × 2² × 67¹
LCM(1335,1340) = 357780