What is the Least Common Multiple of 25839 and 25857?
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 25839 and 25857 is 74235447.
LCM(25839,25857) = 74235447
Least Common Multiple of 25839 and 25857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25839 and 25857, than apply into the LCM equation.
GCF(25839,25857) = 9
LCM(25839,25857) = ( 25839 × 25857) / 9
LCM(25839,25857) = 668119023 / 9
LCM(25839,25857) = 74235447
Least Common Multiple (LCM) of 25839 and 25857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25839 and 25857. First we will calculate the prime factors of 25839 and 25857.
Prime Factorization of 25839
Prime factors of 25839 are 3, 11, 29. Prime factorization of 25839 in exponential form is:
25839 = 34 × 111 × 291
Prime Factorization of 25857
Prime factors of 25857 are 3, 13, 17. Prime factorization of 25857 in exponential form is:
25857 = 32 × 132 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 25839 and 25857.
LCM(25839,25857) = 34 × 111 × 291 × 132 × 171
LCM(25839,25857) = 74235447
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