What is the Least Common Multiple of 33228 and 33248?

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 33248 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 33248, than apply into the LCM equation.

GCF(33228,33248) = 4
LCM(33228,33248) = ( 33228 × 33248) / 4
LCM(33228,33248) = 1104764544 / 4
LCM(33228,33248) = 276191136

Least Common Multiple (LCM) of 33228 and 33248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33228 and 33248. First we will calculate the prime factors of 33228 and 33248.

Prime Factorization of 33228

Prime Factorization of 33248

Now multiplying the highest exponent prime factors to calculate the LCM of 33228 and 33248.

LCM(33228,33248) = 2⁵ × 3² × 13¹ × 71¹ × 1039¹
LCM(33228,33248) = 276191136