What is the Least Common Multiple of 33312 and 33322?

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 33312 and 33322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33312 and 33322, than apply into the LCM equation.

GCF(33312,33322) = 2
LCM(33312,33322) = ( 33312 × 33322) / 2
LCM(33312,33322) = 1110022464 / 2
LCM(33312,33322) = 555011232

Least Common Multiple (LCM) of 33312 and 33322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33312 and 33322. First we will calculate the prime factors of 33312 and 33322.

Prime Factorization of 33312

Prime Factorization of 33322

Now multiplying the highest exponent prime factors to calculate the LCM of 33312 and 33322.

LCM(33312,33322) = 2⁵ × 3¹ × 347¹ × 16661¹
LCM(33312,33322) = 555011232