What is the Least Common Multiple of 3294 and 3303?

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 3294 and 3303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3294 and 3303, than apply into the LCM equation.

GCF(3294,3303) = 9
LCM(3294,3303) = ( 3294 × 3303) / 9
LCM(3294,3303) = 10880082 / 9
LCM(3294,3303) = 1208898

Least Common Multiple (LCM) of 3294 and 3303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3294 and 3303. First we will calculate the prime factors of 3294 and 3303.

Prime Factorization of 3294

Prime Factorization of 3303

Now multiplying the highest exponent prime factors to calculate the LCM of 3294 and 3303.

LCM(3294,3303) = 2¹ × 3³ × 61¹ × 367¹
LCM(3294,3303) = 1208898