Least Common Multiple of 9170 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 9170 and 9177 the smallest integer that is 12021870 that is divisible by both numbers.
Least Common Multiple (LCM) of 9170 and 9177 is 12021870.
LCM(9170,9177) = 12021870
LCM of 9170 and 9177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9170 and 9177 by Prime method
- Least Common Multiple of 9170 and 9177 with GCF Formula
LCM of 9170 and 9177 is 12021870
Least common multiple can be found by multiplying the highest exponent prime factors of 9170 and 9177. First we will calculate the prime factors of 9170 and 9177.
Prime Factorization of 9170
| 2 | 9170 |
| 5 | 4585 |
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:
9170 = 21×51×71×1311
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 9170 and 9177.
LCM(9170,9177) = 21×31×51×71×191×231×1311
LCM(9170,9177) = 12021870
Factors of 9170
List of positive integer factors of 9170 that divides 9170 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
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 9170 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 9170 and 9177, than apply into the LCM equation.
GCF(9170,9177) = 7
LCM(9170,9177) = ( 9170 × 9177) / 7
LCM(9170,9177) = 84153090 / 7
LCM(9170,9177) = 12021870
Properties of LCM 9170 and 9177
(i) The LCM of 9177 and 9170 is associative
LCM of 9170 and 9177 = LCM of 9177 and 9170
Related Least Common Multiples of 9170
Related Least Common Multiples of 9177
Frequently Asked Questions on LCM of 9170 and 9177
1. What is the LCM of 9170 and 9177?
Answer: LCM of 9170 and 9177 is 12021870.
2. What are the Factors of 9170?
Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.
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 9170 and 9177?
Answer:
Least Common Multiple of 9170 and 9177 = 12021870
Step 1: Find the prime factorization of 9170
9170 = 2 x 5 x 7 x 131
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 = 12021870 = 2 x 3 x 5 x 7 x 19 x 23 x 131
Step 4: Therefore, the least common multiple of 9170 and 9177 is 12021870.