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What is the Least Common Multiple of 13915 and 13928?

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 13915 and 13928 is 193808120.

LCM(13915,13928) = 193808120

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Least Common Multiple of 13915 and 13928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13915 and 13928, than apply into the LCM equation.

GCF(13915,13928) = 1
LCM(13915,13928) = ( 13915 × 13928) / 1
LCM(13915,13928) = 193808120 / 1
LCM(13915,13928) = 193808120

Least Common Multiple (LCM) of 13915 and 13928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13915 and 13928. First we will calculate the prime factors of 13915 and 13928.

Prime Factorization of 13915

Prime factors of 13915 are 5, 11, 23. Prime factorization of 13915 in exponential form is:

13915 = 51 × 112 × 231

Prime Factorization of 13928

Prime factors of 13928 are 2, 1741. Prime factorization of 13928 in exponential form is:

13928 = 23 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 13915 and 13928.

LCM(13915,13928) = 51 × 112 × 231 × 23 × 17411
LCM(13915,13928) = 193808120