What is the Least Common Multiple of 25801 and 25814?
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 25801 and 25814 is 666027014.
LCM(25801,25814) = 666027014
Least Common Multiple of 25801 and 25814 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25801 and 25814, than apply into the LCM equation.
GCF(25801,25814) = 1
LCM(25801,25814) = ( 25801 × 25814) / 1
LCM(25801,25814) = 666027014 / 1
LCM(25801,25814) = 666027014
Least Common Multiple (LCM) of 25801 and 25814 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25801 and 25814. First we will calculate the prime factors of 25801 and 25814.
Prime Factorization of 25801
Prime factors of 25801 are 25801. Prime factorization of 25801 in exponential form is:
25801 = 258011
Prime Factorization of 25814
Prime factors of 25814 are 2, 12907. Prime factorization of 25814 in exponential form is:
25814 = 21 × 129071
Now multiplying the highest exponent prime factors to calculate the LCM of 25801 and 25814.
LCM(25801,25814) = 258011 × 21 × 129071
LCM(25801,25814) = 666027014
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