What is the Least Common Multiple of 13685 and 13689?
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 13685 and 13689 is 187333965.
LCM(13685,13689) = 187333965
Least Common Multiple of 13685 and 13689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13685 and 13689, than apply into the LCM equation.
GCF(13685,13689) = 1
LCM(13685,13689) = ( 13685 × 13689) / 1
LCM(13685,13689) = 187333965 / 1
LCM(13685,13689) = 187333965
Least Common Multiple (LCM) of 13685 and 13689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13685 and 13689. First we will calculate the prime factors of 13685 and 13689.
Prime Factorization of 13685
Prime factors of 13685 are 5, 7, 17, 23. Prime factorization of 13685 in exponential form is:
13685 = 51 × 71 × 171 × 231
Prime Factorization of 13689
Prime factors of 13689 are 3, 13. Prime factorization of 13689 in exponential form is:
13689 = 34 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 13685 and 13689.
LCM(13685,13689) = 51 × 71 × 171 × 231 × 34 × 132
LCM(13685,13689) = 187333965
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