What is the Least Common Multiple of 15147 and 15165?
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 15147 and 15165 is 25522695.
LCM(15147,15165) = 25522695
Least Common Multiple of 15147 and 15165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15147 and 15165, than apply into the LCM equation.
GCF(15147,15165) = 9
LCM(15147,15165) = ( 15147 × 15165) / 9
LCM(15147,15165) = 229704255 / 9
LCM(15147,15165) = 25522695
Least Common Multiple (LCM) of 15147 and 15165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15147 and 15165. First we will calculate the prime factors of 15147 and 15165.
Prime Factorization of 15147
Prime factors of 15147 are 3, 11, 17. Prime factorization of 15147 in exponential form is:
15147 = 34 × 111 × 171
Prime Factorization of 15165
Prime factors of 15165 are 3, 5, 337. Prime factorization of 15165 in exponential form is:
15165 = 32 × 51 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 15147 and 15165.
LCM(15147,15165) = 34 × 111 × 171 × 51 × 3371
LCM(15147,15165) = 25522695
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