What is the Least Common Multiple of 13687 and 13706?
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 13687 and 13706 is 187594022.
LCM(13687,13706) = 187594022
Least Common Multiple of 13687 and 13706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13687 and 13706, than apply into the LCM equation.
GCF(13687,13706) = 1
LCM(13687,13706) = ( 13687 × 13706) / 1
LCM(13687,13706) = 187594022 / 1
LCM(13687,13706) = 187594022
Least Common Multiple (LCM) of 13687 and 13706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13687 and 13706. First we will calculate the prime factors of 13687 and 13706.
Prime Factorization of 13687
Prime factors of 13687 are 13687. Prime factorization of 13687 in exponential form is:
13687 = 136871
Prime Factorization of 13706
Prime factors of 13706 are 2, 7, 11, 89. Prime factorization of 13706 in exponential form is:
13706 = 21 × 71 × 111 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 13687 and 13706.
LCM(13687,13706) = 136871 × 21 × 71 × 111 × 891
LCM(13687,13706) = 187594022
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