What is the Least Common Multiple of 13689 and 13699?
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 13689 and 13699 is 187525611.
LCM(13689,13699) = 187525611
Least Common Multiple of 13689 and 13699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13689 and 13699, than apply into the LCM equation.
GCF(13689,13699) = 1
LCM(13689,13699) = ( 13689 × 13699) / 1
LCM(13689,13699) = 187525611 / 1
LCM(13689,13699) = 187525611
Least Common Multiple (LCM) of 13689 and 13699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13689 and 13699. First we will calculate the prime factors of 13689 and 13699.
Prime Factorization of 13689
Prime factors of 13689 are 3, 13. Prime factorization of 13689 in exponential form is:
13689 = 34 × 132
Prime Factorization of 13699
Prime factors of 13699 are 7, 19, 103. Prime factorization of 13699 in exponential form is:
13699 = 71 × 191 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 13689 and 13699.
LCM(13689,13699) = 34 × 132 × 71 × 191 × 1031
LCM(13689,13699) = 187525611
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