What is the Least Common Multiple of 25351 and 25365?
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 25351 and 25365 is 643028115.
LCM(25351,25365) = 643028115
Least Common Multiple of 25351 and 25365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25351 and 25365, than apply into the LCM equation.
GCF(25351,25365) = 1
LCM(25351,25365) = ( 25351 × 25365) / 1
LCM(25351,25365) = 643028115 / 1
LCM(25351,25365) = 643028115
Least Common Multiple (LCM) of 25351 and 25365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25351 and 25365. First we will calculate the prime factors of 25351 and 25365.
Prime Factorization of 25351
Prime factors of 25351 are 101, 251. Prime factorization of 25351 in exponential form is:
25351 = 1011 × 2511
Prime Factorization of 25365
Prime factors of 25365 are 3, 5, 19, 89. Prime factorization of 25365 in exponential form is:
25365 = 31 × 51 × 191 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 25351 and 25365.
LCM(25351,25365) = 1011 × 2511 × 31 × 51 × 191 × 891
LCM(25351,25365) = 643028115
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