What is the Least Common Multiple of 25437 and 25445?
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 25437 and 25445 is 647244465.
LCM(25437,25445) = 647244465
Least Common Multiple of 25437 and 25445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25437 and 25445, than apply into the LCM equation.
GCF(25437,25445) = 1
LCM(25437,25445) = ( 25437 × 25445) / 1
LCM(25437,25445) = 647244465 / 1
LCM(25437,25445) = 647244465
Least Common Multiple (LCM) of 25437 and 25445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25437 and 25445. First we will calculate the prime factors of 25437 and 25445.
Prime Factorization of 25437
Prime factors of 25437 are 3, 61, 139. Prime factorization of 25437 in exponential form is:
25437 = 31 × 611 × 1391
Prime Factorization of 25445
Prime factors of 25445 are 5, 7, 727. Prime factorization of 25445 in exponential form is:
25445 = 51 × 71 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 25437 and 25445.
LCM(25437,25445) = 31 × 611 × 1391 × 51 × 71 × 7271
LCM(25437,25445) = 647244465
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