Least Common Multiple of 6041 and 6045
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6041 and 6045 the smallest integer that is 36517845 that is divisible by both numbers.
Least Common Multiple (LCM) of 6041 and 6045 is 36517845.
LCM(6041,6045) = 36517845
LCM of 6041 and 6045
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6041 and 6045 by Prime method
- Least Common Multiple of 6041 and 6045 with GCF Formula
LCM of 6041 and 6045 is 36517845
Least common multiple can be found by multiplying the highest exponent prime factors of 6041 and 6045. First we will calculate the prime factors of 6041 and 6045.
Prime Factorization of 6041
| 7 | 6041 |
| 863 | 863 |
| 1 |
Prime factors of 6041 are 7,863. Prime factorization of 6041 in exponential form is:
6041 = 71×8631
Prime Factorization of 6045
| 3 | 6045 |
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 6045 are 3, 5, 13,31. Prime factorization of 6045 in exponential form is:
6045 = 31×51×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 6041 and 6045.
LCM(6041,6045) = 31×51×71×131×311×8631
LCM(6041,6045) = 36517845
Factors of 6041
List of positive integer factors of 6041 that divides 6041 without a remainder.
1, 7, 863, 6041
Factors of 6045
List of positive integer factors of 6045 that divides 6045 without a remainder.
1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
Least Common Multiple of 6041 and 6045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6041 and 6045, than apply into the LCM equation.
GCF(6041,6045) = 1
LCM(6041,6045) = ( 6041 × 6045) / 1
LCM(6041,6045) = 36517845 / 1
LCM(6041,6045) = 36517845
Properties of LCM 6041 and 6045
(i) The LCM of 6045 and 6041 is associative
LCM of 6041 and 6045 = LCM of 6045 and 6041
Related Least Common Multiples of 6041
Related Least Common Multiples of 6045
Frequently Asked Questions on LCM of 6041 and 6045
1. What is the LCM of 6041 and 6045?
Answer: LCM of 6041 and 6045 is 36517845.
2. What are the Factors of 6041?
Answer: Factors of 6041 are 1, 7, 863, 6041. There are 4 integers that are factors of 6041. The greatest factor of 6041 is 6041.
3. What are the Factors of 6045?
Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.
4. How to Find the LCM of 6041 and 6045?
Answer:
Least Common Multiple of 6041 and 6045 = 36517845
Step 1: Find the prime factorization of 6041
6041 = 7 x 863
Step 2: Find the prime factorization of 6045
6045 = 3 x 5 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36517845 = 3 x 5 x 7 x 13 x 31 x 863
Step 4: Therefore, the least common multiple of 6041 and 6045 is 36517845.