What is the Least Common Multiple of 25369 and 25389?
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 25389 is 644093541.
LCM(25369,25389) = 644093541
Least Common Multiple of 25369 and 25389 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 25389, than apply into the LCM equation.
GCF(25369,25389) = 1
LCM(25369,25389) = ( 25369 × 25389) / 1
LCM(25369,25389) = 644093541 / 1
LCM(25369,25389) = 644093541
Least Common Multiple (LCM) of 25369 and 25389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25369 and 25389. First we will calculate the prime factors of 25369 and 25389.
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 25389
Prime factors of 25389 are 3, 7, 13, 31. Prime factorization of 25389 in exponential form is:
25389 = 32 × 71 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 25369 and 25389.
LCM(25369,25389) = 231 × 11031 × 32 × 71 × 131 × 311
LCM(25369,25389) = 644093541
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