What is the Least Common Multiple of 13723 and 13741?
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 13723 and 13741 is 188567743.
LCM(13723,13741) = 188567743
Least Common Multiple of 13723 and 13741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13723 and 13741, than apply into the LCM equation.
GCF(13723,13741) = 1
LCM(13723,13741) = ( 13723 × 13741) / 1
LCM(13723,13741) = 188567743 / 1
LCM(13723,13741) = 188567743
Least Common Multiple (LCM) of 13723 and 13741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13723 and 13741. First we will calculate the prime factors of 13723 and 13741.
Prime Factorization of 13723
Prime factors of 13723 are 13723. Prime factorization of 13723 in exponential form is:
13723 = 137231
Prime Factorization of 13741
Prime factors of 13741 are 7, 13, 151. Prime factorization of 13741 in exponential form is:
13741 = 71 × 131 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 13723 and 13741.
LCM(13723,13741) = 137231 × 71 × 131 × 1511
LCM(13723,13741) = 188567743
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