What is the Least Common Multiple of 25471 and 25487?
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 25471 and 25487 is 649179377.
LCM(25471,25487) = 649179377
Least Common Multiple of 25471 and 25487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25471 and 25487, than apply into the LCM equation.
GCF(25471,25487) = 1
LCM(25471,25487) = ( 25471 × 25487) / 1
LCM(25471,25487) = 649179377 / 1
LCM(25471,25487) = 649179377
Least Common Multiple (LCM) of 25471 and 25487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25471 and 25487. First we will calculate the prime factors of 25471 and 25487.
Prime Factorization of 25471
Prime factors of 25471 are 25471. Prime factorization of 25471 in exponential form is:
25471 = 254711
Prime Factorization of 25487
Prime factors of 25487 are 7, 11, 331. Prime factorization of 25487 in exponential form is:
25487 = 71 × 111 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 25471 and 25487.
LCM(25471,25487) = 254711 × 71 × 111 × 3311
LCM(25471,25487) = 649179377
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