What is the Least Common Multiple of 9157 and 9161?
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 9157 and 9161 is 83887277.
LCM(9157,9161) = 83887277
Least Common Multiple of 9157 and 9161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9157 and 9161, than apply into the LCM equation.
GCF(9157,9161) = 1
LCM(9157,9161) = ( 9157 × 9161) / 1
LCM(9157,9161) = 83887277 / 1
LCM(9157,9161) = 83887277
Least Common Multiple (LCM) of 9157 and 9161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9157 and 9161. First we will calculate the prime factors of 9157 and 9161.
Prime Factorization of 9157
Prime factors of 9157 are 9157. Prime factorization of 9157 in exponential form is:
9157 = 91571
Prime Factorization of 9161
Prime factors of 9161 are 9161. Prime factorization of 9161 in exponential form is:
9161 = 91611
Now multiplying the highest exponent prime factors to calculate the LCM of 9157 and 9161.
LCM(9157,9161) = 91571 × 91611
LCM(9157,9161) = 83887277
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