What is the Least Common Multiple of 13686 and 13696?
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 13686 and 13696 is 93721728.
LCM(13686,13696) = 93721728
Least Common Multiple of 13686 and 13696 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13686 and 13696, than apply into the LCM equation.
GCF(13686,13696) = 2
LCM(13686,13696) = ( 13686 × 13696) / 2
LCM(13686,13696) = 187443456 / 2
LCM(13686,13696) = 93721728
Least Common Multiple (LCM) of 13686 and 13696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13686 and 13696. First we will calculate the prime factors of 13686 and 13696.
Prime Factorization of 13686
Prime factors of 13686 are 2, 3, 2281. Prime factorization of 13686 in exponential form is:
13686 = 21 × 31 × 22811
Prime Factorization of 13696
Prime factors of 13696 are 2, 107. Prime factorization of 13696 in exponential form is:
13696 = 27 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 13686 and 13696.
LCM(13686,13696) = 27 × 31 × 22811 × 1071
LCM(13686,13696) = 93721728
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