What is the Least Common Multiple of 25159 and 25169?
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 25159 and 25169 is 633226871.
LCM(25159,25169) = 633226871
Least Common Multiple of 25159 and 25169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25159 and 25169, than apply into the LCM equation.
GCF(25159,25169) = 1
LCM(25159,25169) = ( 25159 × 25169) / 1
LCM(25159,25169) = 633226871 / 1
LCM(25159,25169) = 633226871
Least Common Multiple (LCM) of 25159 and 25169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25159 and 25169. First we will calculate the prime factors of 25159 and 25169.
Prime Factorization of 25159
Prime factors of 25159 are 139, 181. Prime factorization of 25159 in exponential form is:
25159 = 1391 × 1811
Prime Factorization of 25169
Prime factors of 25169 are 25169. Prime factorization of 25169 in exponential form is:
25169 = 251691
Now multiplying the highest exponent prime factors to calculate the LCM of 25159 and 25169.
LCM(25159,25169) = 1391 × 1811 × 251691
LCM(25159,25169) = 633226871
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