Least Common Multiple of 29041 and 29049
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 29041 and 29049 the smallest integer that is 843612009 that is divisible by both numbers.
Least Common Multiple (LCM) of 29041 and 29049 is 843612009.
LCM(29041,29049) = 843612009
LCM of 29041 and 29049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29041 and 29049 by Prime method
- Least Common Multiple of 29041 and 29049 with GCF Formula
LCM of 29041 and 29049 is 843612009
Least common multiple can be found by multiplying the highest exponent prime factors of 29041 and 29049. First we will calculate the prime factors of 29041 and 29049.
Prime Factorization of 29041
| 113 | 29041 |
| 257 | 257 |
| 1 |
Prime factors of 29041 are 113,257. Prime factorization of 29041 in exponential form is:
29041 = 1131×2571
Prime Factorization of 29049
| 3 | 29049 |
| 23 | 9683 |
| 421 | 421 |
| 1 |
Prime factors of 29049 are 3, 23,421. Prime factorization of 29049 in exponential form is:
29049 = 31×231×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 29041 and 29049.
LCM(29041,29049) = 31×231×1131×2571×4211
LCM(29041,29049) = 843612009
Factors of 29041
List of positive integer factors of 29041 that divides 29041 without a remainder.
1, 113, 257, 29041
Factors of 29049
List of positive integer factors of 29049 that divides 29049 without a remainder.
1, 3, 23, 69, 421, 1263, 9683, 29049
Least Common Multiple of 29041 and 29049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29041 and 29049, than apply into the LCM equation.
GCF(29041,29049) = 1
LCM(29041,29049) = ( 29041 × 29049) / 1
LCM(29041,29049) = 843612009 / 1
LCM(29041,29049) = 843612009
Properties of LCM 29041 and 29049
(i) The LCM of 29049 and 29041 is associative
LCM of 29041 and 29049 = LCM of 29049 and 29041
Related Least Common Multiples of 29041
Related Least Common Multiples of 29049
Frequently Asked Questions on LCM of 29041 and 29049
1. What is the LCM of 29041 and 29049?
Answer: LCM of 29041 and 29049 is 843612009.
2. What are the Factors of 29041?
Answer: Factors of 29041 are 1, 113, 257, 29041. There are 4 integers that are factors of 29041. The greatest factor of 29041 is 29041.
3. What are the Factors of 29049?
Answer: Factors of 29049 are 1, 3, 23, 69, 421, 1263, 9683, 29049. There are 8 integers that are factors of 29049. The greatest factor of 29049 is 29049.
4. How to Find the LCM of 29041 and 29049?
Answer:
Least Common Multiple of 29041 and 29049 = 843612009
Step 1: Find the prime factorization of 29041
29041 = 113 x 257
Step 2: Find the prime factorization of 29049
29049 = 3 x 23 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 843612009 = 3 x 23 x 113 x 257 x 421
Step 4: Therefore, the least common multiple of 29041 and 29049 is 843612009.