What is the Least Common Multiple of 3438 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 of 3438 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 3438 and 3449, than apply into the LCM equation.

GCF(3438,3449) = 1
LCM(3438,3449) = ( 3438 × 3449) / 1
LCM(3438,3449) = 11857662 / 1
LCM(3438,3449) = 11857662

Least Common Multiple (LCM) of 3438 and 3449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3438 and 3449. First we will calculate the prime factors of 3438 and 3449.

Prime Factorization of 3438

Prime Factorization of 3449

Now multiplying the highest exponent prime factors to calculate the LCM of 3438 and 3449.

LCM(3438,3449) = 2¹ × 3² × 191¹ × 3449¹
LCM(3438,3449) = 11857662