What is the Least Common Multiple of 25355 and 25368?
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 25355 and 25368 is 643205640.
LCM(25355,25368) = 643205640
Least Common Multiple of 25355 and 25368 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25355 and 25368, than apply into the LCM equation.
GCF(25355,25368) = 1
LCM(25355,25368) = ( 25355 × 25368) / 1
LCM(25355,25368) = 643205640 / 1
LCM(25355,25368) = 643205640
Least Common Multiple (LCM) of 25355 and 25368 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25355 and 25368. First we will calculate the prime factors of 25355 and 25368.
Prime Factorization of 25355
Prime factors of 25355 are 5, 11, 461. Prime factorization of 25355 in exponential form is:
25355 = 51 × 111 × 4611
Prime Factorization of 25368
Prime factors of 25368 are 2, 3, 7, 151. Prime factorization of 25368 in exponential form is:
25368 = 23 × 31 × 71 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 25355 and 25368.
LCM(25355,25368) = 51 × 111 × 4611 × 23 × 31 × 71 × 1511
LCM(25355,25368) = 643205640
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