What is the Least Common Multiple of 1320 and 1335?

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 1320 and 1335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1320 and 1335, than apply into the LCM equation.

GCF(1320,1335) = 15
LCM(1320,1335) = ( 1320 × 1335) / 15
LCM(1320,1335) = 1762200 / 15
LCM(1320,1335) = 117480

Least Common Multiple (LCM) of 1320 and 1335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1320 and 1335. First we will calculate the prime factors of 1320 and 1335.

Prime Factorization of 1320

Prime Factorization of 1335

Now multiplying the highest exponent prime factors to calculate the LCM of 1320 and 1335.

LCM(1320,1335) = 2³ × 3¹ × 5¹ × 11¹ × 89¹
LCM(1320,1335) = 117480