What is the Least Common Multiple of 25603 and 25609?
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 25603 and 25609 is 655667227.
LCM(25603,25609) = 655667227
Least Common Multiple of 25603 and 25609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25603 and 25609, than apply into the LCM equation.
GCF(25603,25609) = 1
LCM(25603,25609) = ( 25603 × 25609) / 1
LCM(25603,25609) = 655667227 / 1
LCM(25603,25609) = 655667227
Least Common Multiple (LCM) of 25603 and 25609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25603 and 25609. First we will calculate the prime factors of 25603 and 25609.
Prime Factorization of 25603
Prime factors of 25603 are 25603. Prime factorization of 25603 in exponential form is:
25603 = 256031
Prime Factorization of 25609
Prime factors of 25609 are 25609. Prime factorization of 25609 in exponential form is:
25609 = 256091
Now multiplying the highest exponent prime factors to calculate the LCM of 25603 and 25609.
LCM(25603,25609) = 256031 × 256091
LCM(25603,25609) = 655667227
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