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What is the Least Common Multiple of 13227 and 13245?

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 13227 and 13245 is 58397205.

LCM(13227,13245) = 58397205

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Least Common Multiple of 13227 and 13245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13227 and 13245, than apply into the LCM equation.

GCF(13227,13245) = 3
LCM(13227,13245) = ( 13227 × 13245) / 3
LCM(13227,13245) = 175191615 / 3
LCM(13227,13245) = 58397205

Least Common Multiple (LCM) of 13227 and 13245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13227 and 13245. First we will calculate the prime factors of 13227 and 13245.

Prime Factorization of 13227

Prime factors of 13227 are 3, 4409. Prime factorization of 13227 in exponential form is:

13227 = 31 × 44091

Prime Factorization of 13245

Prime factors of 13245 are 3, 5, 883. Prime factorization of 13245 in exponential form is:

13245 = 31 × 51 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 13227 and 13245.

LCM(13227,13245) = 31 × 44091 × 51 × 8831
LCM(13227,13245) = 58397205