What is the Least Common Multiple of 25155 and 25159?
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 25155 and 25159 is 632874645.
LCM(25155,25159) = 632874645
Least Common Multiple of 25155 and 25159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25155 and 25159, than apply into the LCM equation.
GCF(25155,25159) = 1
LCM(25155,25159) = ( 25155 × 25159) / 1
LCM(25155,25159) = 632874645 / 1
LCM(25155,25159) = 632874645
Least Common Multiple (LCM) of 25155 and 25159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25155 and 25159. First we will calculate the prime factors of 25155 and 25159.
Prime Factorization of 25155
Prime factors of 25155 are 3, 5, 13, 43. Prime factorization of 25155 in exponential form is:
25155 = 32 × 51 × 131 × 431
Prime Factorization of 25159
Prime factors of 25159 are 139, 181. Prime factorization of 25159 in exponential form is:
25159 = 1391 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 25155 and 25159.
LCM(25155,25159) = 32 × 51 × 131 × 431 × 1391 × 1811
LCM(25155,25159) = 632874645
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