What is the Least Common Multiple of 25353 and 25357?
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 25353 and 25357 is 642876021.
LCM(25353,25357) = 642876021
Least Common Multiple of 25353 and 25357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25353 and 25357, than apply into the LCM equation.
GCF(25353,25357) = 1
LCM(25353,25357) = ( 25353 × 25357) / 1
LCM(25353,25357) = 642876021 / 1
LCM(25353,25357) = 642876021
Least Common Multiple (LCM) of 25353 and 25357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25353 and 25357. First we will calculate the prime factors of 25353 and 25357.
Prime Factorization of 25353
Prime factors of 25353 are 3, 313. Prime factorization of 25353 in exponential form is:
25353 = 34 × 3131
Prime Factorization of 25357
Prime factors of 25357 are 25357. Prime factorization of 25357 in exponential form is:
25357 = 253571
Now multiplying the highest exponent prime factors to calculate the LCM of 25353 and 25357.
LCM(25353,25357) = 34 × 3131 × 253571
LCM(25353,25357) = 642876021
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