What is the Least Common Multiple of 25433 and 25453?
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 25433 and 25453 is 647346149.
LCM(25433,25453) = 647346149
Least Common Multiple of 25433 and 25453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25433 and 25453, than apply into the LCM equation.
GCF(25433,25453) = 1
LCM(25433,25453) = ( 25433 × 25453) / 1
LCM(25433,25453) = 647346149 / 1
LCM(25433,25453) = 647346149
Least Common Multiple (LCM) of 25433 and 25453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25433 and 25453. First we will calculate the prime factors of 25433 and 25453.
Prime Factorization of 25433
Prime factors of 25433 are 29, 877. Prime factorization of 25433 in exponential form is:
25433 = 291 × 8771
Prime Factorization of 25453
Prime factors of 25453 are 25453. Prime factorization of 25453 in exponential form is:
25453 = 254531
Now multiplying the highest exponent prime factors to calculate the LCM of 25433 and 25453.
LCM(25433,25453) = 291 × 8771 × 254531
LCM(25433,25453) = 647346149
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