Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9173 and 9181 the smallest integer that is 84217313 that is divisible by both numbers.
Least Common Multiple (LCM) of 9173 and 9181 is 84217313.
LCM(9173,9181) = 84217313
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 9173 and 9181. First we will calculate the prime factors of 9173 and 9181.
Prime Factorization of 9173
9173 | 9173 |
1 |
Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:
9173 = 91731
Prime Factorization of 9181
9181 | 9181 |
1 |
Prime factors of 9181 are 9181. Prime factorization of 9181 in exponential form is:
9181 = 91811
Now multiplying the highest exponent prime factors to calculate the LCM of 9173 and 9181.
LCM(9173,9181) = 91731×91811
LCM(9173,9181) = 84217313
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1, 9173
Factors of 9181
List of positive integer factors of 9181 that divides 9181 without a remainder.
1, 9181
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9173 and 9181, than apply into the LCM equation.
GCF(9173,9181) = 1
LCM(9173,9181) = ( 9173 × 9181) / 1
LCM(9173,9181) = 84217313 / 1
LCM(9173,9181) = 84217313
(i) The LCM of 9181 and 9173 is associative
LCM of 9173 and 9181 = LCM of 9181 and 9173
1. What is the LCM of 9173 and 9181?
Answer: LCM of 9173 and 9181 is 84217313.
2. 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.
3. What are the Factors of 9181?
Answer: Factors of 9181 are 1, 9181. There are 2 integers that are factors of 9181. The greatest factor of 9181 is 9181.
4. How to Find the LCM of 9173 and 9181?
Answer:
Least Common Multiple of 9173 and 9181 = 84217313
Step 1: Find the prime factorization of 9173
9173 = 9173
Step 2: Find the prime factorization of 9181
9181 = 9181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84217313 = 9173 x 9181
Step 4: Therefore, the least common multiple of 9173 and 9181 is 84217313.