What is the Least Common Multiple of 13716 and 13723?
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 13716 and 13723 is 188224668.
LCM(13716,13723) = 188224668
Least Common Multiple of 13716 and 13723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13716 and 13723, than apply into the LCM equation.
GCF(13716,13723) = 1
LCM(13716,13723) = ( 13716 × 13723) / 1
LCM(13716,13723) = 188224668 / 1
LCM(13716,13723) = 188224668
Least Common Multiple (LCM) of 13716 and 13723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13716 and 13723. First we will calculate the prime factors of 13716 and 13723.
Prime Factorization of 13716
Prime factors of 13716 are 2, 3, 127. Prime factorization of 13716 in exponential form is:
13716 = 22 × 33 × 1271
Prime Factorization of 13723
Prime factors of 13723 are 13723. Prime factorization of 13723 in exponential form is:
13723 = 137231
Now multiplying the highest exponent prime factors to calculate the LCM of 13716 and 13723.
LCM(13716,13723) = 22 × 33 × 1271 × 137231
LCM(13716,13723) = 188224668
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