What is the Least Common Multiple of 25368 and 25385?
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 25368 and 25385 is 643966680.
LCM(25368,25385) = 643966680
Least Common Multiple of 25368 and 25385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25368 and 25385, than apply into the LCM equation.
GCF(25368,25385) = 1
LCM(25368,25385) = ( 25368 × 25385) / 1
LCM(25368,25385) = 643966680 / 1
LCM(25368,25385) = 643966680
Least Common Multiple (LCM) of 25368 and 25385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25368 and 25385. First we will calculate the prime factors of 25368 and 25385.
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
Prime Factorization of 25385
Prime factors of 25385 are 5, 5077. Prime factorization of 25385 in exponential form is:
25385 = 51 × 50771
Now multiplying the highest exponent prime factors to calculate the LCM of 25368 and 25385.
LCM(25368,25385) = 23 × 31 × 71 × 1511 × 51 × 50771
LCM(25368,25385) = 643966680
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