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What is the Least Common Multiple of 13221 and 13228?

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 13228 is 174887388.

LCM(13221,13228) = 174887388

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Least Common Multiple of 13221 and 13228 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 13228, than apply into the LCM equation.

GCF(13221,13228) = 1
LCM(13221,13228) = ( 13221 × 13228) / 1
LCM(13221,13228) = 174887388 / 1
LCM(13221,13228) = 174887388

Least Common Multiple (LCM) of 13221 and 13228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13221 and 13228. First we will calculate the prime factors of 13221 and 13228.

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 13228

Prime factors of 13228 are 2, 3307. Prime factorization of 13228 in exponential form is:

13228 = 22 × 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 13221 and 13228.

LCM(13221,13228) = 32 × 131 × 1131 × 22 × 33071
LCM(13221,13228) = 174887388