What is the Least Common Multiple of 25354 and 25363?
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 25354 and 25363 is 643053502.
LCM(25354,25363) = 643053502
Least Common Multiple of 25354 and 25363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25354 and 25363, than apply into the LCM equation.
GCF(25354,25363) = 1
LCM(25354,25363) = ( 25354 × 25363) / 1
LCM(25354,25363) = 643053502 / 1
LCM(25354,25363) = 643053502
Least Common Multiple (LCM) of 25354 and 25363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25354 and 25363. First we will calculate the prime factors of 25354 and 25363.
Prime Factorization of 25354
Prime factors of 25354 are 2, 7, 1811. Prime factorization of 25354 in exponential form is:
25354 = 21 × 71 × 18111
Prime Factorization of 25363
Prime factors of 25363 are 13, 1951. Prime factorization of 25363 in exponential form is:
25363 = 131 × 19511
Now multiplying the highest exponent prime factors to calculate the LCM of 25354 and 25363.
LCM(25354,25363) = 21 × 71 × 18111 × 131 × 19511
LCM(25354,25363) = 643053502
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