Least Common Multiple of 9172 and 9177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9172 and 9177 the smallest integer that is 84171444 that is divisible by both numbers.
Least Common Multiple (LCM) of 9172 and 9177 is 84171444.
LCM(9172,9177) = 84171444
LCM of 9172 and 9177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9172 and 9177 by Prime method
- Least Common Multiple of 9172 and 9177 with GCF Formula
LCM of 9172 and 9177 is 84171444
Least common multiple can be found by multiplying the highest exponent prime factors of 9172 and 9177. First we will calculate the prime factors of 9172 and 9177.
Prime Factorization of 9172
| 2 | 9172 |
| 2 | 4586 |
| 2293 | 2293 |
| 1 |
Prime factors of 9172 are 2,2293. Prime factorization of 9172 in exponential form is:
9172 = 22×22931
Prime Factorization of 9177
| 3 | 9177 |
| 7 | 3059 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 9177 are 3, 7, 19,23. Prime factorization of 9177 in exponential form is:
9177 = 31×71×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 9172 and 9177.
LCM(9172,9177) = 22×31×71×191×231×22931
LCM(9172,9177) = 84171444
Factors of 9172
List of positive integer factors of 9172 that divides 9172 without a remainder.
1, 2, 4, 2293, 4586, 9172
Factors of 9177
List of positive integer factors of 9177 that divides 9177 without a remainder.
1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177
Least Common Multiple of 9172 and 9177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9172 and 9177, than apply into the LCM equation.
GCF(9172,9177) = 1
LCM(9172,9177) = ( 9172 × 9177) / 1
LCM(9172,9177) = 84171444 / 1
LCM(9172,9177) = 84171444
Properties of LCM 9172 and 9177
(i) The LCM of 9177 and 9172 is associative
LCM of 9172 and 9177 = LCM of 9177 and 9172
Related Least Common Multiples of 9172
Related Least Common Multiples of 9177
Frequently Asked Questions on LCM of 9172 and 9177
1. What is the LCM of 9172 and 9177?
Answer: LCM of 9172 and 9177 is 84171444.
2. What are the Factors of 9172?
Answer: Factors of 9172 are 1, 2, 4, 2293, 4586, 9172. There are 6 integers that are factors of 9172. The greatest factor of 9172 is 9172.
3. What are the Factors of 9177?
Answer: Factors of 9177 are 1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177. There are 16 integers that are factors of 9177. The greatest factor of 9177 is 9177.
4. How to Find the LCM of 9172 and 9177?
Answer:
Least Common Multiple of 9172 and 9177 = 84171444
Step 1: Find the prime factorization of 9172
9172 = 2 x 2 x 2293
Step 2: Find the prime factorization of 9177
9177 = 3 x 7 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84171444 = 2 x 2 x 3 x 7 x 19 x 23 x 2293
Step 4: Therefore, the least common multiple of 9172 and 9177 is 84171444.