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What is the Least Common Multiple of 13221 and 13226?

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 13221 and 13226 is 174860946.

LCM(13221,13226) = 174860946

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Least Common Multiple of 13221 and 13226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13221 and 13226, than apply into the LCM equation.

GCF(13221,13226) = 1
LCM(13221,13226) = ( 13221 × 13226) / 1
LCM(13221,13226) = 174860946 / 1
LCM(13221,13226) = 174860946

Least Common Multiple (LCM) of 13221 and 13226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13221 and 13226. First we will calculate the prime factors of 13221 and 13226.

Prime Factorization of 13221

Prime factors of 13221 are 3, 13, 113. Prime factorization of 13221 in exponential form is:

13221 = 32 × 131 × 1131

Prime Factorization of 13226

Prime factors of 13226 are 2, 17, 389. Prime factorization of 13226 in exponential form is:

13226 = 21 × 171 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 13221 and 13226.

LCM(13221,13226) = 32 × 131 × 1131 × 21 × 171 × 3891
LCM(13221,13226) = 174860946