What is the Least Common Multiple of 25411 and 25426?
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 25411 and 25426 is 646100086.
LCM(25411,25426) = 646100086
Least Common Multiple of 25411 and 25426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25411 and 25426, than apply into the LCM equation.
GCF(25411,25426) = 1
LCM(25411,25426) = ( 25411 × 25426) / 1
LCM(25411,25426) = 646100086 / 1
LCM(25411,25426) = 646100086
Least Common Multiple (LCM) of 25411 and 25426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25411 and 25426. First we will calculate the prime factors of 25411 and 25426.
Prime Factorization of 25411
Prime factors of 25411 are 25411. Prime factorization of 25411 in exponential form is:
25411 = 254111
Prime Factorization of 25426
Prime factors of 25426 are 2, 12713. Prime factorization of 25426 in exponential form is:
25426 = 21 × 127131
Now multiplying the highest exponent prime factors to calculate the LCM of 25411 and 25426.
LCM(25411,25426) = 254111 × 21 × 127131
LCM(25411,25426) = 646100086
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