What is the Least Common Multiple of 25369 and 25375?
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 25369 and 25375 is 643738375.
LCM(25369,25375) = 643738375
Least Common Multiple of 25369 and 25375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25369 and 25375, than apply into the LCM equation.
GCF(25369,25375) = 1
LCM(25369,25375) = ( 25369 × 25375) / 1
LCM(25369,25375) = 643738375 / 1
LCM(25369,25375) = 643738375
Least Common Multiple (LCM) of 25369 and 25375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25369 and 25375. First we will calculate the prime factors of 25369 and 25375.
Prime Factorization of 25369
Prime factors of 25369 are 23, 1103. Prime factorization of 25369 in exponential form is:
25369 = 231 × 11031
Prime Factorization of 25375
Prime factors of 25375 are 5, 7, 29. Prime factorization of 25375 in exponential form is:
25375 = 53 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 25369 and 25375.
LCM(25369,25375) = 231 × 11031 × 53 × 71 × 291
LCM(25369,25375) = 643738375
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