What is the Least Common Multiple of 3320 and 3335?

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 3320 and 3335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3320 and 3335, than apply into the LCM equation.

GCF(3320,3335) = 5
LCM(3320,3335) = ( 3320 × 3335) / 5
LCM(3320,3335) = 11072200 / 5
LCM(3320,3335) = 2214440

Least Common Multiple (LCM) of 3320 and 3335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3320 and 3335. First we will calculate the prime factors of 3320 and 3335.

Prime Factorization of 3320

Prime Factorization of 3335

Now multiplying the highest exponent prime factors to calculate the LCM of 3320 and 3335.

LCM(3320,3335) = 2³ × 5¹ × 83¹ × 23¹ × 29¹
LCM(3320,3335) = 2214440