What is the Least Common Multiple of 3320 and 3340?

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 3340 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 3340, than apply into the LCM equation.

GCF(3320,3340) = 20
LCM(3320,3340) = ( 3320 × 3340) / 20
LCM(3320,3340) = 11088800 / 20
LCM(3320,3340) = 554440

Least Common Multiple (LCM) of 3320 and 3340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3320 and 3340. First we will calculate the prime factors of 3320 and 3340.

Prime Factorization of 3320

Prime Factorization of 3340

Now multiplying the highest exponent prime factors to calculate the LCM of 3320 and 3340.

LCM(3320,3340) = 2³ × 5¹ × 83¹ × 167¹
LCM(3320,3340) = 554440