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What is the Least Common Multiple of 13228 and 13232?

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 13228 and 13232 is 43758224.

LCM(13228,13232) = 43758224

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Least Common Multiple of 13228 and 13232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13228 and 13232, than apply into the LCM equation.

GCF(13228,13232) = 4
LCM(13228,13232) = ( 13228 × 13232) / 4
LCM(13228,13232) = 175032896 / 4
LCM(13228,13232) = 43758224

Least Common Multiple (LCM) of 13228 and 13232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13228 and 13232. First we will calculate the prime factors of 13228 and 13232.

Prime Factorization of 13228

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

13228 = 22 × 33071

Prime Factorization of 13232

Prime factors of 13232 are 2, 827. Prime factorization of 13232 in exponential form is:

13232 = 24 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 13228 and 13232.

LCM(13228,13232) = 24 × 33071 × 8271
LCM(13228,13232) = 43758224