Least Common Multiple of 8267 and 8274
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8267 and 8274 the smallest integer that is 9771594 that is divisible by both numbers.
Least Common Multiple (LCM) of 8267 and 8274 is 9771594.
LCM(8267,8274) = 9771594
LCM of 8267 and 8274
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8267 and 8274 by Prime method
- Least Common Multiple of 8267 and 8274 with GCF Formula
LCM of 8267 and 8274 is 9771594
Least common multiple can be found by multiplying the highest exponent prime factors of 8267 and 8274. First we will calculate the prime factors of 8267 and 8274.
Prime Factorization of 8267
| 7 | 8267 |
| 1181 | 1181 |
| 1 |
Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:
8267 = 71×11811
Prime Factorization of 8274
| 2 | 8274 |
| 3 | 4137 |
| 7 | 1379 |
| 197 | 197 |
| 1 |
Prime factors of 8274 are 2, 3, 7,197. Prime factorization of 8274 in exponential form is:
8274 = 21×31×71×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 8267 and 8274.
LCM(8267,8274) = 21×31×71×1971×11811
LCM(8267,8274) = 9771594
Factors of 8267
List of positive integer factors of 8267 that divides 8267 without a remainder.
1, 7, 1181, 8267
Factors of 8274
List of positive integer factors of 8274 that divides 8274 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274
Least Common Multiple of 8267 and 8274 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8267 and 8274, than apply into the LCM equation.
GCF(8267,8274) = 7
LCM(8267,8274) = ( 8267 × 8274) / 7
LCM(8267,8274) = 68401158 / 7
LCM(8267,8274) = 9771594
Properties of LCM 8267 and 8274
(i) The LCM of 8274 and 8267 is associative
LCM of 8267 and 8274 = LCM of 8274 and 8267
Related Least Common Multiples of 8267
Related Least Common Multiples of 8274
Frequently Asked Questions on LCM of 8267 and 8274
1. What is the LCM of 8267 and 8274?
Answer: LCM of 8267 and 8274 is 9771594.
2. What are the Factors of 8267?
Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.
3. What are the Factors of 8274?
Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.
4. How to Find the LCM of 8267 and 8274?
Answer:
Least Common Multiple of 8267 and 8274 = 9771594
Step 1: Find the prime factorization of 8267
8267 = 7 x 1181
Step 2: Find the prime factorization of 8274
8274 = 2 x 3 x 7 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9771594 = 2 x 3 x 7 x 197 x 1181
Step 4: Therefore, the least common multiple of 8267 and 8274 is 9771594.