What is the Least Common Multiple of 25387 and 25405?
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 25387 and 25405 is 644956735.
LCM(25387,25405) = 644956735
Least Common Multiple of 25387 and 25405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25387 and 25405, than apply into the LCM equation.
GCF(25387,25405) = 1
LCM(25387,25405) = ( 25387 × 25405) / 1
LCM(25387,25405) = 644956735 / 1
LCM(25387,25405) = 644956735
Least Common Multiple (LCM) of 25387 and 25405 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25387 and 25405. First we will calculate the prime factors of 25387 and 25405.
Prime Factorization of 25387
Prime factors of 25387 are 53, 479. Prime factorization of 25387 in exponential form is:
25387 = 531 × 4791
Prime Factorization of 25405
Prime factors of 25405 are 5, 5081. Prime factorization of 25405 in exponential form is:
25405 = 51 × 50811
Now multiplying the highest exponent prime factors to calculate the LCM of 25387 and 25405.
LCM(25387,25405) = 531 × 4791 × 51 × 50811
LCM(25387,25405) = 644956735
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