What is the Least Common Multiple of 25794 and 25805?
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 25794 and 25805 is 665614170.
LCM(25794,25805) = 665614170
Least Common Multiple of 25794 and 25805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25794 and 25805, than apply into the LCM equation.
GCF(25794,25805) = 1
LCM(25794,25805) = ( 25794 × 25805) / 1
LCM(25794,25805) = 665614170 / 1
LCM(25794,25805) = 665614170
Least Common Multiple (LCM) of 25794 and 25805 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25794 and 25805. First we will calculate the prime factors of 25794 and 25805.
Prime Factorization of 25794
Prime factors of 25794 are 2, 3, 1433. Prime factorization of 25794 in exponential form is:
25794 = 21 × 32 × 14331
Prime Factorization of 25805
Prime factors of 25805 are 5, 13, 397. Prime factorization of 25805 in exponential form is:
25805 = 51 × 131 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 25794 and 25805.
LCM(25794,25805) = 21 × 32 × 14331 × 51 × 131 × 3971
LCM(25794,25805) = 665614170
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