What is the Least Common Multiple of 10161 and 10165?
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 10161 and 10165 is 103286565.
LCM(10161,10165) = 103286565
Least Common Multiple of 10161 and 10165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10161 and 10165, than apply into the LCM equation.
GCF(10161,10165) = 1
LCM(10161,10165) = ( 10161 × 10165) / 1
LCM(10161,10165) = 103286565 / 1
LCM(10161,10165) = 103286565
Least Common Multiple (LCM) of 10161 and 10165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10161 and 10165. First we will calculate the prime factors of 10161 and 10165.
Prime Factorization of 10161
Prime factors of 10161 are 3, 1129. Prime factorization of 10161 in exponential form is:
10161 = 32 × 11291
Prime Factorization of 10165
Prime factors of 10165 are 5, 19, 107. Prime factorization of 10165 in exponential form is:
10165 = 51 × 191 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 10161 and 10165.
LCM(10161,10165) = 32 × 11291 × 51 × 191 × 1071
LCM(10161,10165) = 103286565
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