What is the Least Common Multiple of 25539 and 25554?
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 25539 and 25554 is 217541202.
LCM(25539,25554) = 217541202
Least Common Multiple of 25539 and 25554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25539 and 25554, than apply into the LCM equation.
GCF(25539,25554) = 3
LCM(25539,25554) = ( 25539 × 25554) / 3
LCM(25539,25554) = 652623606 / 3
LCM(25539,25554) = 217541202
Least Common Multiple (LCM) of 25539 and 25554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25539 and 25554. First we will calculate the prime factors of 25539 and 25554.
Prime Factorization of 25539
Prime factors of 25539 are 3, 8513. Prime factorization of 25539 in exponential form is:
25539 = 31 × 85131
Prime Factorization of 25554
Prime factors of 25554 are 2, 3, 4259. Prime factorization of 25554 in exponential form is:
25554 = 21 × 31 × 42591
Now multiplying the highest exponent prime factors to calculate the LCM of 25539 and 25554.
LCM(25539,25554) = 31 × 85131 × 21 × 42591
LCM(25539,25554) = 217541202
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