What is the Least Common Multiple of 33316 and 33326?

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 33316 and 33326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33316 and 33326, than apply into the LCM equation.

GCF(33316,33326) = 2
LCM(33316,33326) = ( 33316 × 33326) / 2
LCM(33316,33326) = 1110289016 / 2
LCM(33316,33326) = 555144508

Least Common Multiple (LCM) of 33316 and 33326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33316 and 33326. First we will calculate the prime factors of 33316 and 33326.

Prime Factorization of 33316

Prime Factorization of 33326

Now multiplying the highest exponent prime factors to calculate the LCM of 33316 and 33326.

LCM(33316,33326) = 2² × 8329¹ × 19¹ × 877¹
LCM(33316,33326) = 555144508