What is the Least Common Multiple of 25340 and 25351?
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 25340 and 25351 is 642394340.
LCM(25340,25351) = 642394340
Least Common Multiple of 25340 and 25351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25340 and 25351, than apply into the LCM equation.
GCF(25340,25351) = 1
LCM(25340,25351) = ( 25340 × 25351) / 1
LCM(25340,25351) = 642394340 / 1
LCM(25340,25351) = 642394340
Least Common Multiple (LCM) of 25340 and 25351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25340 and 25351. First we will calculate the prime factors of 25340 and 25351.
Prime Factorization of 25340
Prime factors of 25340 are 2, 5, 7, 181. Prime factorization of 25340 in exponential form is:
25340 = 22 × 51 × 71 × 1811
Prime Factorization of 25351
Prime factors of 25351 are 101, 251. Prime factorization of 25351 in exponential form is:
25351 = 1011 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 25340 and 25351.
LCM(25340,25351) = 22 × 51 × 71 × 1811 × 1011 × 2511
LCM(25340,25351) = 642394340
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