What is the Least Common Multiple of 25375 and 25384?
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 25375 and 25384 is 644119000.
LCM(25375,25384) = 644119000
Least Common Multiple of 25375 and 25384 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25375 and 25384, than apply into the LCM equation.
GCF(25375,25384) = 1
LCM(25375,25384) = ( 25375 × 25384) / 1
LCM(25375,25384) = 644119000 / 1
LCM(25375,25384) = 644119000
Least Common Multiple (LCM) of 25375 and 25384 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25375 and 25384. First we will calculate the prime factors of 25375 and 25384.
Prime Factorization of 25375
Prime factors of 25375 are 5, 7, 29. Prime factorization of 25375 in exponential form is:
25375 = 53 × 71 × 291
Prime Factorization of 25384
Prime factors of 25384 are 2, 19, 167. Prime factorization of 25384 in exponential form is:
25384 = 23 × 191 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 25375 and 25384.
LCM(25375,25384) = 53 × 71 × 291 × 23 × 191 × 1671
LCM(25375,25384) = 644119000
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