What is the Least Common Multiple of 33294 and 33309?

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 33294 and 33309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33294 and 33309, than apply into the LCM equation.

GCF(33294,33309) = 3
LCM(33294,33309) = ( 33294 × 33309) / 3
LCM(33294,33309) = 1108989846 / 3
LCM(33294,33309) = 369663282

Least Common Multiple (LCM) of 33294 and 33309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33294 and 33309. First we will calculate the prime factors of 33294 and 33309.

Prime Factorization of 33294

Prime Factorization of 33309

Now multiplying the highest exponent prime factors to calculate the LCM of 33294 and 33309.

LCM(33294,33309) = 2¹ × 3² × 31¹ × 179¹ × 3701¹
LCM(33294,33309) = 369663282