What is the Least Common Multiple of 25341 and 25347?
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 25341 and 25347 is 214106109.
LCM(25341,25347) = 214106109
Least Common Multiple of 25341 and 25347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25341 and 25347, than apply into the LCM equation.
GCF(25341,25347) = 3
LCM(25341,25347) = ( 25341 × 25347) / 3
LCM(25341,25347) = 642318327 / 3
LCM(25341,25347) = 214106109
Least Common Multiple (LCM) of 25341 and 25347 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25341 and 25347. First we will calculate the prime factors of 25341 and 25347.
Prime Factorization of 25341
Prime factors of 25341 are 3, 8447. Prime factorization of 25341 in exponential form is:
25341 = 31 × 84471
Prime Factorization of 25347
Prime factors of 25347 are 3, 7, 17, 71. Prime factorization of 25347 in exponential form is:
25347 = 31 × 71 × 171 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 25341 and 25347.
LCM(25341,25347) = 31 × 84471 × 71 × 171 × 711
LCM(25341,25347) = 214106109
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