What is the Least Common Multiple of 25543 and 25555?
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 25543 and 25555 is 652751365.
LCM(25543,25555) = 652751365
Least Common Multiple of 25543 and 25555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25543 and 25555, than apply into the LCM equation.
GCF(25543,25555) = 1
LCM(25543,25555) = ( 25543 × 25555) / 1
LCM(25543,25555) = 652751365 / 1
LCM(25543,25555) = 652751365
Least Common Multiple (LCM) of 25543 and 25555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25543 and 25555. First we will calculate the prime factors of 25543 and 25555.
Prime Factorization of 25543
Prime factors of 25543 are 7, 41, 89. Prime factorization of 25543 in exponential form is:
25543 = 71 × 411 × 891
Prime Factorization of 25555
Prime factors of 25555 are 5, 19, 269. Prime factorization of 25555 in exponential form is:
25555 = 51 × 191 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 25543 and 25555.
LCM(25543,25555) = 71 × 411 × 891 × 51 × 191 × 2691
LCM(25543,25555) = 652751365
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