What is the Least Common Multiple of 25433 and 25452?
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 25433 and 25452 is 647320716.
LCM(25433,25452) = 647320716
Least Common Multiple of 25433 and 25452 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25433 and 25452, than apply into the LCM equation.
GCF(25433,25452) = 1
LCM(25433,25452) = ( 25433 × 25452) / 1
LCM(25433,25452) = 647320716 / 1
LCM(25433,25452) = 647320716
Least Common Multiple (LCM) of 25433 and 25452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25433 and 25452. First we will calculate the prime factors of 25433 and 25452.
Prime Factorization of 25433
Prime factors of 25433 are 29, 877. Prime factorization of 25433 in exponential form is:
25433 = 291 × 8771
Prime Factorization of 25452
Prime factors of 25452 are 2, 3, 7, 101. Prime factorization of 25452 in exponential form is:
25452 = 22 × 32 × 71 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 25433 and 25452.
LCM(25433,25452) = 291 × 8771 × 22 × 32 × 71 × 1011
LCM(25433,25452) = 647320716
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