What is the Least Common Multiple of 33208 and 33227?

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 33208 and 33227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33208 and 33227, than apply into the LCM equation.

GCF(33208,33227) = 1
LCM(33208,33227) = ( 33208 × 33227) / 1
LCM(33208,33227) = 1103402216 / 1
LCM(33208,33227) = 1103402216

Least Common Multiple (LCM) of 33208 and 33227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33208 and 33227. First we will calculate the prime factors of 33208 and 33227.

Prime Factorization of 33208

Prime Factorization of 33227

Now multiplying the highest exponent prime factors to calculate the LCM of 33208 and 33227.

LCM(33208,33227) = 2³ × 7¹ × 593¹ × 149¹ × 223¹
LCM(33208,33227) = 1103402216