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What is the Least Common Multiple of 33227 and 33238?

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 (LCM) of 33227 and 33238 is 1104399026.

LCM(33227,33238) = 1104399026

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Least Common Multiple of 33227 and 33238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33227 and 33238, than apply into the LCM equation.

GCF(33227,33238) = 1
LCM(33227,33238) = ( 33227 × 33238) / 1
LCM(33227,33238) = 1104399026 / 1
LCM(33227,33238) = 1104399026

Least Common Multiple (LCM) of 33227 and 33238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33227 and 33238. First we will calculate the prime factors of 33227 and 33238.

Prime Factorization of 33227

Prime factors of 33227 are 149, 223. Prime factorization of 33227 in exponential form is:

33227 = 1491 × 2231

Prime Factorization of 33238

Prime factors of 33238 are 2, 16619. Prime factorization of 33238 in exponential form is:

33238 = 21 × 166191

Now multiplying the highest exponent prime factors to calculate the LCM of 33227 and 33238.

LCM(33227,33238) = 1491 × 2231 × 21 × 166191
LCM(33227,33238) = 1104399026