What is the Least Common Multiple of 25418 and 25424?
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 25418 and 25424 is 323113616.
LCM(25418,25424) = 323113616
Least Common Multiple of 25418 and 25424 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25418 and 25424, than apply into the LCM equation.
GCF(25418,25424) = 2
LCM(25418,25424) = ( 25418 × 25424) / 2
LCM(25418,25424) = 646227232 / 2
LCM(25418,25424) = 323113616
Least Common Multiple (LCM) of 25418 and 25424 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25418 and 25424. First we will calculate the prime factors of 25418 and 25424.
Prime Factorization of 25418
Prime factors of 25418 are 2, 71, 179. Prime factorization of 25418 in exponential form is:
25418 = 21 × 711 × 1791
Prime Factorization of 25424
Prime factors of 25424 are 2, 7, 227. Prime factorization of 25424 in exponential form is:
25424 = 24 × 71 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 25418 and 25424.
LCM(25418,25424) = 24 × 711 × 1791 × 71 × 2271
LCM(25418,25424) = 323113616
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