What is the Least Common Multiple of 25428 and 25439?
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 25428 and 25439 is 646862892.
LCM(25428,25439) = 646862892
Least Common Multiple of 25428 and 25439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25428 and 25439, than apply into the LCM equation.
GCF(25428,25439) = 1
LCM(25428,25439) = ( 25428 × 25439) / 1
LCM(25428,25439) = 646862892 / 1
LCM(25428,25439) = 646862892
Least Common Multiple (LCM) of 25428 and 25439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25428 and 25439. First we will calculate the prime factors of 25428 and 25439.
Prime Factorization of 25428
Prime factors of 25428 are 2, 3, 13, 163. Prime factorization of 25428 in exponential form is:
25428 = 22 × 31 × 131 × 1631
Prime Factorization of 25439
Prime factors of 25439 are 25439. Prime factorization of 25439 in exponential form is:
25439 = 254391
Now multiplying the highest exponent prime factors to calculate the LCM of 25428 and 25439.
LCM(25428,25439) = 22 × 31 × 131 × 1631 × 254391
LCM(25428,25439) = 646862892
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