What is the Least Common Multiple of 9161 and 9166?
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 9161 and 9166 is 83969726.
LCM(9161,9166) = 83969726
Least Common Multiple of 9161 and 9166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9161 and 9166, than apply into the LCM equation.
GCF(9161,9166) = 1
LCM(9161,9166) = ( 9161 × 9166) / 1
LCM(9161,9166) = 83969726 / 1
LCM(9161,9166) = 83969726
Least Common Multiple (LCM) of 9161 and 9166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9161 and 9166. First we will calculate the prime factors of 9161 and 9166.
Prime Factorization of 9161
Prime factors of 9161 are 9161. Prime factorization of 9161 in exponential form is:
9161 = 91611
Prime Factorization of 9166
Prime factors of 9166 are 2, 4583. Prime factorization of 9166 in exponential form is:
9166 = 21 × 45831
Now multiplying the highest exponent prime factors to calculate the LCM of 9161 and 9166.
LCM(9161,9166) = 91611 × 21 × 45831
LCM(9161,9166) = 83969726
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