Least Common Multiple of 9274 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 9274 and 9282 the smallest integer that is 43040634 that is divisible by both numbers.
Least Common Multiple (LCM) of 9274 and 9282 is 43040634.
LCM(9274,9282) = 43040634
LCM of 9274 and 9282
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9274 and 9282 by Prime method
- Least Common Multiple of 9274 and 9282 with GCF Formula
LCM of 9274 and 9282 is 43040634
Least common multiple can be found by multiplying the highest exponent prime factors of 9274 and 9282. First we will calculate the prime factors of 9274 and 9282.
Prime Factorization of 9274
| 2 | 9274 |
| 4637 | 4637 |
| 1 |
Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:
9274 = 21×46371
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 9274 and 9282.
LCM(9274,9282) = 21×31×71×131×171×46371
LCM(9274,9282) = 43040634
Factors of 9274
List of positive integer factors of 9274 that divides 9274 without a remainder.
1, 2, 4637, 9274
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 9274 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 9274 and 9282, than apply into the LCM equation.
GCF(9274,9282) = 2
LCM(9274,9282) = ( 9274 × 9282) / 2
LCM(9274,9282) = 86081268 / 2
LCM(9274,9282) = 43040634
Properties of LCM 9274 and 9282
(i) The LCM of 9282 and 9274 is associative
LCM of 9274 and 9282 = LCM of 9282 and 9274
Related Least Common Multiples of 9274
Related Least Common Multiples of 9282
Frequently Asked Questions on LCM of 9274 and 9282
1. What is the LCM of 9274 and 9282?
Answer: LCM of 9274 and 9282 is 43040634.
2. What are the Factors of 9274?
Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.
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 9274 and 9282?
Answer:
Least Common Multiple of 9274 and 9282 = 43040634
Step 1: Find the prime factorization of 9274
9274 = 2 x 4637
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 = 43040634 = 2 x 3 x 7 x 13 x 17 x 4637
Step 4: Therefore, the least common multiple of 9274 and 9282 is 43040634.