Least Common Multiple of 9275 and 9282
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9275 and 9282 the smallest integer that is 12298650 that is divisible by both numbers.
Least Common Multiple (LCM) of 9275 and 9282 is 12298650.
LCM(9275,9282) = 12298650
LCM of 9275 and 9282
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9275 and 9282 by Prime method
- Least Common Multiple of 9275 and 9282 with GCF Formula
LCM of 9275 and 9282 is 12298650
Least common multiple can be found by multiplying the highest exponent prime factors of 9275 and 9282. First we will calculate the prime factors of 9275 and 9282.
Prime Factorization of 9275
| 5 | 9275 |
| 5 | 1855 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 9275 are 5, 7,53. Prime factorization of 9275 in exponential form is:
9275 = 52×71×531
Prime Factorization of 9282
| 2 | 9282 |
| 3 | 4641 |
| 7 | 1547 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 9282 are 2, 3, 7, 13,17. Prime factorization of 9282 in exponential form is:
9282 = 21×31×71×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 9275 and 9282.
LCM(9275,9282) = 21×31×52×71×131×171×531
LCM(9275,9282) = 12298650
Factors of 9275
List of positive integer factors of 9275 that divides 9275 without a remainder.
1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
Factors of 9282
List of positive integer factors of 9282 that divides 9282 without a remainder.
1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282
Least Common Multiple of 9275 and 9282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9275 and 9282, than apply into the LCM equation.
GCF(9275,9282) = 7
LCM(9275,9282) = ( 9275 × 9282) / 7
LCM(9275,9282) = 86090550 / 7
LCM(9275,9282) = 12298650
Properties of LCM 9275 and 9282
(i) The LCM of 9282 and 9275 is associative
LCM of 9275 and 9282 = LCM of 9282 and 9275
Related Least Common Multiples of 9275
Related Least Common Multiples of 9282
Frequently Asked Questions on LCM of 9275 and 9282
1. What is the LCM of 9275 and 9282?
Answer: LCM of 9275 and 9282 is 12298650.
2. What are the Factors of 9275?
Answer: Factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275. There are 12 integers that are factors of 9275. The greatest factor of 9275 is 9275.
3. What are the Factors of 9282?
Answer: Factors of 9282 are 1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282. There are 32 integers that are factors of 9282. The greatest factor of 9282 is 9282.
4. How to Find the LCM of 9275 and 9282?
Answer:
Least Common Multiple of 9275 and 9282 = 12298650
Step 1: Find the prime factorization of 9275
9275 = 5 x 5 x 7 x 53
Step 2: Find the prime factorization of 9282
9282 = 2 x 3 x 7 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12298650 = 2 x 3 x 5 x 5 x 7 x 13 x 17 x 53
Step 4: Therefore, the least common multiple of 9275 and 9282 is 12298650.