What is the Least Common Multiple of 33343 and 33363?

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 33343 and 33363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33343 and 33363, than apply into the LCM equation.

GCF(33343,33363) = 1
LCM(33343,33363) = ( 33343 × 33363) / 1
LCM(33343,33363) = 1112422509 / 1
LCM(33343,33363) = 1112422509

Least Common Multiple (LCM) of 33343 and 33363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33343 and 33363. First we will calculate the prime factors of 33343 and 33363.

Prime Factorization of 33343

Prime Factorization of 33363

Now multiplying the highest exponent prime factors to calculate the LCM of 33343 and 33363.

LCM(33343,33363) = 33343¹ × 3² × 11¹ × 337¹
LCM(33343,33363) = 1112422509