What is the Least Common Multiple of 13729 and 13743?
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 13729 and 13743 is 188677647.
LCM(13729,13743) = 188677647
Least Common Multiple of 13729 and 13743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13729 and 13743, than apply into the LCM equation.
GCF(13729,13743) = 1
LCM(13729,13743) = ( 13729 × 13743) / 1
LCM(13729,13743) = 188677647 / 1
LCM(13729,13743) = 188677647
Least Common Multiple (LCM) of 13729 and 13743 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13729 and 13743. First we will calculate the prime factors of 13729 and 13743.
Prime Factorization of 13729
Prime factors of 13729 are 13729. Prime factorization of 13729 in exponential form is:
13729 = 137291
Prime Factorization of 13743
Prime factors of 13743 are 3, 509. Prime factorization of 13743 in exponential form is:
13743 = 33 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 13729 and 13743.
LCM(13729,13743) = 137291 × 33 × 5091
LCM(13729,13743) = 188677647
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