What is the Least Common Multiple of 3376 and 3393?

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 3376 and 3393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3376 and 3393, than apply into the LCM equation.

GCF(3376,3393) = 1
LCM(3376,3393) = ( 3376 × 3393) / 1
LCM(3376,3393) = 11454768 / 1
LCM(3376,3393) = 11454768

Least Common Multiple (LCM) of 3376 and 3393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3376 and 3393. First we will calculate the prime factors of 3376 and 3393.

Prime Factorization of 3376

Prime Factorization of 3393

Now multiplying the highest exponent prime factors to calculate the LCM of 3376 and 3393.

LCM(3376,3393) = 2⁴ × 211¹ × 3² × 13¹ × 29¹
LCM(3376,3393) = 11454768