What is the Least Common Multiple of 3314 and 3321?

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 3314 and 3321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3314 and 3321, than apply into the LCM equation.

GCF(3314,3321) = 1
LCM(3314,3321) = ( 3314 × 3321) / 1
LCM(3314,3321) = 11005794 / 1
LCM(3314,3321) = 11005794

Least Common Multiple (LCM) of 3314 and 3321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3314 and 3321. First we will calculate the prime factors of 3314 and 3321.

Prime Factorization of 3314

Prime Factorization of 3321

Now multiplying the highest exponent prime factors to calculate the LCM of 3314 and 3321.

LCM(3314,3321) = 2¹ × 1657¹ × 3⁴ × 41¹
LCM(3314,3321) = 11005794