Least Common Multiple of 8442 and 8449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8442 and 8449 the smallest integer that is 10189494 that is divisible by both numbers.
Least Common Multiple (LCM) of 8442 and 8449 is 10189494.
LCM(8442,8449) = 10189494
LCM of 8442 and 8449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8442 and 8449 by Prime method
- Least Common Multiple of 8442 and 8449 with GCF Formula
LCM of 8442 and 8449 is 10189494
Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8449. First we will calculate the prime factors of 8442 and 8449.
Prime Factorization of 8442
| 2 | 8442 |
| 3 | 4221 |
| 3 | 1407 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 8442 are 2, 3, 7,67. Prime factorization of 8442 in exponential form is:
8442 = 21×32×71×671
Prime Factorization of 8449
| 7 | 8449 |
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 8449 are 7, 17,71. Prime factorization of 8449 in exponential form is:
8449 = 71×171×711
Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8449.
LCM(8442,8449) = 21×32×71×171×671×711
LCM(8442,8449) = 10189494
Factors of 8442
List of positive integer factors of 8442 that divides 8442 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442
Factors of 8449
List of positive integer factors of 8449 that divides 8449 without a remainder.
1, 7, 17, 71, 119, 497, 1207, 8449
Least Common Multiple of 8442 and 8449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8442 and 8449, than apply into the LCM equation.
GCF(8442,8449) = 7
LCM(8442,8449) = ( 8442 × 8449) / 7
LCM(8442,8449) = 71326458 / 7
LCM(8442,8449) = 10189494
Properties of LCM 8442 and 8449
(i) The LCM of 8449 and 8442 is associative
LCM of 8442 and 8449 = LCM of 8449 and 8442
Related Least Common Multiples of 8442
Related Least Common Multiples of 8449
Frequently Asked Questions on LCM of 8442 and 8449
1. What is the LCM of 8442 and 8449?
Answer: LCM of 8442 and 8449 is 10189494.
2. What are the Factors of 8442?
Answer: Factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. There are 24 integers that are factors of 8442. The greatest factor of 8442 is 8442.
3. What are the Factors of 8449?
Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.
4. How to Find the LCM of 8442 and 8449?
Answer:
Least Common Multiple of 8442 and 8449 = 10189494
Step 1: Find the prime factorization of 8442
8442 = 2 x 3 x 3 x 7 x 67
Step 2: Find the prime factorization of 8449
8449 = 7 x 17 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10189494 = 2 x 3 x 3 x 7 x 17 x 67 x 71
Step 4: Therefore, the least common multiple of 8442 and 8449 is 10189494.