What is the Least Common Multiple of 25818 and 25835?
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 25818 and 25835 is 667008030.
LCM(25818,25835) = 667008030
Least Common Multiple of 25818 and 25835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25818 and 25835, than apply into the LCM equation.
GCF(25818,25835) = 1
LCM(25818,25835) = ( 25818 × 25835) / 1
LCM(25818,25835) = 667008030 / 1
LCM(25818,25835) = 667008030
Least Common Multiple (LCM) of 25818 and 25835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25818 and 25835. First we will calculate the prime factors of 25818 and 25835.
Prime Factorization of 25818
Prime factors of 25818 are 2, 3, 13, 331. Prime factorization of 25818 in exponential form is:
25818 = 21 × 31 × 131 × 3311
Prime Factorization of 25835
Prime factors of 25835 are 5, 5167. Prime factorization of 25835 in exponential form is:
25835 = 51 × 51671
Now multiplying the highest exponent prime factors to calculate the LCM of 25818 and 25835.
LCM(25818,25835) = 21 × 31 × 131 × 3311 × 51 × 51671
LCM(25818,25835) = 667008030
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