What is the Least Common Multiple of 25604 and 25614?
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 25604 and 25614 is 327910428.
LCM(25604,25614) = 327910428
Least Common Multiple of 25604 and 25614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25604 and 25614, than apply into the LCM equation.
GCF(25604,25614) = 2
LCM(25604,25614) = ( 25604 × 25614) / 2
LCM(25604,25614) = 655820856 / 2
LCM(25604,25614) = 327910428
Least Common Multiple (LCM) of 25604 and 25614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25604 and 25614. First we will calculate the prime factors of 25604 and 25614.
Prime Factorization of 25604
Prime factors of 25604 are 2, 37, 173. Prime factorization of 25604 in exponential form is:
25604 = 22 × 371 × 1731
Prime Factorization of 25614
Prime factors of 25614 are 2, 3, 1423. Prime factorization of 25614 in exponential form is:
25614 = 21 × 32 × 14231
Now multiplying the highest exponent prime factors to calculate the LCM of 25604 and 25614.
LCM(25604,25614) = 22 × 371 × 1731 × 32 × 14231
LCM(25604,25614) = 327910428
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