Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9166 and 9173 the smallest integer that is 84079718 that is divisible by both numbers.
Least Common Multiple (LCM) of 9166 and 9173 is 84079718.
LCM(9166,9173) = 84079718
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9166 and 9173. First we will calculate the prime factors of 9166 and 9173.
Prime Factorization of 9166
2 | 9166 |
4583 | 4583 |
1 |
Prime factors of 9166 are 2,4583. Prime factorization of 9166 in exponential form is:
9166 = 21×45831
Prime Factorization of 9173
9173 | 9173 |
1 |
Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:
9173 = 91731
Now multiplying the highest exponent prime factors to calculate the LCM of 9166 and 9173.
LCM(9166,9173) = 21×45831×91731
LCM(9166,9173) = 84079718
Factors of 9166
List of positive integer factors of 9166 that divides 9166 without a remainder.
1, 2, 4583, 9166
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1, 9173
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9166 and 9173, than apply into the LCM equation.
GCF(9166,9173) = 1
LCM(9166,9173) = ( 9166 × 9173) / 1
LCM(9166,9173) = 84079718 / 1
LCM(9166,9173) = 84079718
(i) The LCM of 9173 and 9166 is associative
LCM of 9166 and 9173 = LCM of 9173 and 9166
1. What is the LCM of 9166 and 9173?
Answer: LCM of 9166 and 9173 is 84079718.
2. What are the Factors of 9166?
Answer: Factors of 9166 are 1, 2, 4583, 9166. There are 4 integers that are factors of 9166. The greatest factor of 9166 is 9166.
3. What are the Factors of 9173?
Answer: Factors of 9173 are 1, 9173. There are 2 integers that are factors of 9173. The greatest factor of 9173 is 9173.
4. How to Find the LCM of 9166 and 9173?
Answer:
Least Common Multiple of 9166 and 9173 = 84079718
Step 1: Find the prime factorization of 9166
9166 = 2 x 4583
Step 2: Find the prime factorization of 9173
9173 = 9173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84079718 = 2 x 4583 x 9173
Step 4: Therefore, the least common multiple of 9166 and 9173 is 84079718.