What is the Least Common Multiple of 33228 and 33233?

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 33228 and 33233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33228 and 33233, than apply into the LCM equation.

GCF(33228,33233) = 1
LCM(33228,33233) = ( 33228 × 33233) / 1
LCM(33228,33233) = 1104266124 / 1
LCM(33228,33233) = 1104266124

Least Common Multiple (LCM) of 33228 and 33233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33228 and 33233. First we will calculate the prime factors of 33228 and 33233.

Prime Factorization of 33228

Prime Factorization of 33233

Now multiplying the highest exponent prime factors to calculate the LCM of 33228 and 33233.

LCM(33228,33233) = 2² × 3² × 13¹ × 71¹ × 167¹ × 199¹
LCM(33228,33233) = 1104266124