What is the Least Common Multiple of 25418 and 25432?
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 25432 is 323215288.
LCM(25418,25432) = 323215288
Least Common Multiple of 25418 and 25432 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 25432, than apply into the LCM equation.
GCF(25418,25432) = 2
LCM(25418,25432) = ( 25418 × 25432) / 2
LCM(25418,25432) = 646430576 / 2
LCM(25418,25432) = 323215288
Least Common Multiple (LCM) of 25418 and 25432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25418 and 25432. First we will calculate the prime factors of 25418 and 25432.
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 25432
Prime factors of 25432 are 2, 11, 17. Prime factorization of 25432 in exponential form is:
25432 = 23 × 111 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 25418 and 25432.
LCM(25418,25432) = 23 × 711 × 1791 × 111 × 172
LCM(25418,25432) = 323215288
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