Least Common Multiple of 6045 and 6047
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6045 and 6047 the smallest integer that is 36554115 that is divisible by both numbers.
Least Common Multiple (LCM) of 6045 and 6047 is 36554115.
LCM(6045,6047) = 36554115
LCM of 6045 and 6047
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6045 and 6047 by Prime method
- Least Common Multiple of 6045 and 6047 with GCF Formula
LCM of 6045 and 6047 is 36554115
Least common multiple can be found by multiplying the highest exponent prime factors of 6045 and 6047. First we will calculate the prime factors of 6045 and 6047.
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
Prime Factorization of 6047
| 6047 | 6047 |
| 1 |
Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:
6047 = 60471
Now multiplying the highest exponent prime factors to calculate the LCM of 6045 and 6047.
LCM(6045,6047) = 31×51×131×311×60471
LCM(6045,6047) = 36554115
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
Factors of 6047
List of positive integer factors of 6047 that divides 6047 without a remainder.
1, 6047
Least Common Multiple of 6045 and 6047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6045 and 6047, than apply into the LCM equation.
GCF(6045,6047) = 1
LCM(6045,6047) = ( 6045 × 6047) / 1
LCM(6045,6047) = 36554115 / 1
LCM(6045,6047) = 36554115
Properties of LCM 6045 and 6047
(i) The LCM of 6047 and 6045 is associative
LCM of 6045 and 6047 = LCM of 6047 and 6045
Related Least Common Multiples of 6045
Related Least Common Multiples of 6047
Frequently Asked Questions on LCM of 6045 and 6047
1. What is the LCM of 6045 and 6047?
Answer: LCM of 6045 and 6047 is 36554115.
2. 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.
3. What are the Factors of 6047?
Answer: Factors of 6047 are 1, 6047. There are 2 integers that are factors of 6047. The greatest factor of 6047 is 6047.
4. How to Find the LCM of 6045 and 6047?
Answer:
Least Common Multiple of 6045 and 6047 = 36554115
Step 1: Find the prime factorization of 6045
6045 = 3 x 5 x 13 x 31
Step 2: Find the prime factorization of 6047
6047 = 6047
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36554115 = 3 x 5 x 13 x 31 x 6047
Step 4: Therefore, the least common multiple of 6045 and 6047 is 36554115.
