What is the Least Common Multiple of 25340 and 25346?
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 25346 is 321133820.
LCM(25340,25346) = 321133820
Least Common Multiple of 25340 and 25346 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 25346, than apply into the LCM equation.
GCF(25340,25346) = 2
LCM(25340,25346) = ( 25340 × 25346) / 2
LCM(25340,25346) = 642267640 / 2
LCM(25340,25346) = 321133820
Least Common Multiple (LCM) of 25340 and 25346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25340 and 25346. First we will calculate the prime factors of 25340 and 25346.
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 25346
Prime factors of 25346 are 2, 19, 23, 29. Prime factorization of 25346 in exponential form is:
25346 = 21 × 191 × 231 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 25340 and 25346.
LCM(25340,25346) = 22 × 51 × 71 × 1811 × 191 × 231 × 291
LCM(25340,25346) = 321133820
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