What is the Least Common Multiple of 25891 and 25896?
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 25891 and 25896 is 670473336.
LCM(25891,25896) = 670473336
Least Common Multiple of 25891 and 25896 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25891 and 25896, than apply into the LCM equation.
GCF(25891,25896) = 1
LCM(25891,25896) = ( 25891 × 25896) / 1
LCM(25891,25896) = 670473336 / 1
LCM(25891,25896) = 670473336
Least Common Multiple (LCM) of 25891 and 25896 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25891 and 25896. First we will calculate the prime factors of 25891 and 25896.
Prime Factorization of 25891
Prime factors of 25891 are 17, 1523. Prime factorization of 25891 in exponential form is:
25891 = 171 × 15231
Prime Factorization of 25896
Prime factors of 25896 are 2, 3, 13, 83. Prime factorization of 25896 in exponential form is:
25896 = 23 × 31 × 131 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 25891 and 25896.
LCM(25891,25896) = 171 × 15231 × 23 × 31 × 131 × 831
LCM(25891,25896) = 670473336
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