What is the Least Common Multiple of 65161 and 65165?
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 65161 and 65165 is 4246216565.
LCM(65161,65165) = 4246216565
Least Common Multiple of 65161 and 65165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65161 and 65165, than apply into the LCM equation.
GCF(65161,65165) = 1
LCM(65161,65165) = ( 65161 × 65165) / 1
LCM(65161,65165) = 4246216565 / 1
LCM(65161,65165) = 4246216565
Least Common Multiple (LCM) of 65161 and 65165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65161 and 65165. First we will calculate the prime factors of 65161 and 65165.
Prime Factorization of 65161
Prime factors of 65161 are 17, 3833. Prime factorization of 65161 in exponential form is:
65161 = 171 × 38331
Prime Factorization of 65165
Prime factors of 65165 are 5, 13033. Prime factorization of 65165 in exponential form is:
65165 = 51 × 130331
Now multiplying the highest exponent prime factors to calculate the LCM of 65161 and 65165.
LCM(65161,65165) = 171 × 38331 × 51 × 130331
LCM(65161,65165) = 4246216565
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