Least Common Multiple of 8244 and 8249
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8244 and 8249 the smallest integer that is 68004756 that is divisible by both numbers.
Least Common Multiple (LCM) of 8244 and 8249 is 68004756.
LCM(8244,8249) = 68004756
LCM of 8244 and 8249
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8244 and 8249 by Prime method
- Least Common Multiple of 8244 and 8249 with GCF Formula
LCM of 8244 and 8249 is 68004756
Least common multiple can be found by multiplying the highest exponent prime factors of 8244 and 8249. First we will calculate the prime factors of 8244 and 8249.
Prime Factorization of 8244
| 2 | 8244 |
| 2 | 4122 |
| 3 | 2061 |
| 3 | 687 |
| 229 | 229 |
| 1 |
Prime factors of 8244 are 2, 3,229. Prime factorization of 8244 in exponential form is:
8244 = 22×32×2291
Prime Factorization of 8249
| 73 | 8249 |
| 113 | 113 |
| 1 |
Prime factors of 8249 are 73,113. Prime factorization of 8249 in exponential form is:
8249 = 731×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 8244 and 8249.
LCM(8244,8249) = 22×32×731×1131×2291
LCM(8244,8249) = 68004756
Factors of 8244
List of positive integer factors of 8244 that divides 8244 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244
Factors of 8249
List of positive integer factors of 8249 that divides 8249 without a remainder.
1, 73, 113, 8249
Least Common Multiple of 8244 and 8249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8244 and 8249, than apply into the LCM equation.
GCF(8244,8249) = 1
LCM(8244,8249) = ( 8244 × 8249) / 1
LCM(8244,8249) = 68004756 / 1
LCM(8244,8249) = 68004756
Properties of LCM 8244 and 8249
(i) The LCM of 8249 and 8244 is associative
LCM of 8244 and 8249 = LCM of 8249 and 8244
Related Least Common Multiples of 8244
Related Least Common Multiples of 8249
Frequently Asked Questions on LCM of 8244 and 8249
1. What is the LCM of 8244 and 8249?
Answer: LCM of 8244 and 8249 is 68004756.
2. What are the Factors of 8244?
Answer: Factors of 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244. There are 18 integers that are factors of 8244. The greatest factor of 8244 is 8244.
3. What are the Factors of 8249?
Answer: Factors of 8249 are 1, 73, 113, 8249. There are 4 integers that are factors of 8249. The greatest factor of 8249 is 8249.
4. How to Find the LCM of 8244 and 8249?
Answer:
Least Common Multiple of 8244 and 8249 = 68004756
Step 1: Find the prime factorization of 8244
8244 = 2 x 2 x 3 x 3 x 229
Step 2: Find the prime factorization of 8249
8249 = 73 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68004756 = 2 x 2 x 3 x 3 x 73 x 113 x 229
Step 4: Therefore, the least common multiple of 8244 and 8249 is 68004756.