What is the Least Common Multiple of 13087 and 13093?
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 13087 and 13093 is 171348091.
LCM(13087,13093) = 171348091
Least Common Multiple of 13087 and 13093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13087 and 13093, than apply into the LCM equation.
GCF(13087,13093) = 1
LCM(13087,13093) = ( 13087 × 13093) / 1
LCM(13087,13093) = 171348091 / 1
LCM(13087,13093) = 171348091
Least Common Multiple (LCM) of 13087 and 13093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13087 and 13093. First we will calculate the prime factors of 13087 and 13093.
Prime Factorization of 13087
Prime factors of 13087 are 23, 569. Prime factorization of 13087 in exponential form is:
13087 = 231 × 5691
Prime Factorization of 13093
Prime factors of 13093 are 13093. Prime factorization of 13093 in exponential form is:
13093 = 130931
Now multiplying the highest exponent prime factors to calculate the LCM of 13087 and 13093.
LCM(13087,13093) = 231 × 5691 × 130931
LCM(13087,13093) = 171348091
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