What is the Least Common Multiple of 25081 and 25095?
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 25081 and 25095 is 89915385.
LCM(25081,25095) = 89915385
Least Common Multiple of 25081 and 25095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25081 and 25095, than apply into the LCM equation.
GCF(25081,25095) = 7
LCM(25081,25095) = ( 25081 × 25095) / 7
LCM(25081,25095) = 629407695 / 7
LCM(25081,25095) = 89915385
Least Common Multiple (LCM) of 25081 and 25095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25081 and 25095. First we will calculate the prime factors of 25081 and 25095.
Prime Factorization of 25081
Prime factors of 25081 are 7, 3583. Prime factorization of 25081 in exponential form is:
25081 = 71 × 35831
Prime Factorization of 25095
Prime factors of 25095 are 3, 5, 7, 239. Prime factorization of 25095 in exponential form is:
25095 = 31 × 51 × 71 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 25081 and 25095.
LCM(25081,25095) = 71 × 35831 × 31 × 51 × 2391
LCM(25081,25095) = 89915385
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