GCF and LCM Calculator Logo

What is the Least Common Multiple of 3440 and 3449?

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 (LCM) of 3440 and 3449 is 11864560.

LCM(3440,3449) = 11864560

LCM Calculator and
and

Least Common Multiple of 3440 and 3449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3440 and 3449, than apply into the LCM equation.

GCF(3440,3449) = 1
LCM(3440,3449) = ( 3440 × 3449) / 1
LCM(3440,3449) = 11864560 / 1
LCM(3440,3449) = 11864560

Least Common Multiple (LCM) of 3440 and 3449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3449. First we will calculate the prime factors of 3440 and 3449.

Prime Factorization of 3440

Prime factors of 3440 are 2, 5, 43. Prime factorization of 3440 in exponential form is:

3440 = 24 × 51 × 431

Prime Factorization of 3449

Prime factors of 3449 are 3449. Prime factorization of 3449 in exponential form is:

3449 = 34491

Now multiplying the highest exponent prime factors to calculate the LCM of 3440 and 3449.

LCM(3440,3449) = 24 × 51 × 431 × 34491
LCM(3440,3449) = 11864560