What is the Least Common Multiple of 25686 and 25691?
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 25686 and 25691 is 659899026.
LCM(25686,25691) = 659899026
Least Common Multiple of 25686 and 25691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25686 and 25691, than apply into the LCM equation.
GCF(25686,25691) = 1
LCM(25686,25691) = ( 25686 × 25691) / 1
LCM(25686,25691) = 659899026 / 1
LCM(25686,25691) = 659899026
Least Common Multiple (LCM) of 25686 and 25691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25686 and 25691. First we will calculate the prime factors of 25686 and 25691.
Prime Factorization of 25686
Prime factors of 25686 are 2, 3, 1427. Prime factorization of 25686 in exponential form is:
25686 = 21 × 32 × 14271
Prime Factorization of 25691
Prime factors of 25691 are 23, 1117. Prime factorization of 25691 in exponential form is:
25691 = 231 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 25686 and 25691.
LCM(25686,25691) = 21 × 32 × 14271 × 231 × 11171
LCM(25686,25691) = 659899026
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