Least Common Multiple of 6045 and 6049
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 6049 the smallest integer that is 36566205 that is divisible by both numbers.
Least Common Multiple (LCM) of 6045 and 6049 is 36566205.
LCM(6045,6049) = 36566205
LCM of 6045 and 6049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6045 and 6049 by Prime method
- Least Common Multiple of 6045 and 6049 with GCF Formula
LCM of 6045 and 6049 is 36566205
Least common multiple can be found by multiplying the highest exponent prime factors of 6045 and 6049. First we will calculate the prime factors of 6045 and 6049.
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 6049
| 23 | 6049 |
| 263 | 263 |
| 1 |
Prime factors of 6049 are 23,263. Prime factorization of 6049 in exponential form is:
6049 = 231×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 6045 and 6049.
LCM(6045,6049) = 31×51×131×231×311×2631
LCM(6045,6049) = 36566205
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 6049
List of positive integer factors of 6049 that divides 6049 without a remainder.
1, 23, 263, 6049
Least Common Multiple of 6045 and 6049 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 6049, than apply into the LCM equation.
GCF(6045,6049) = 1
LCM(6045,6049) = ( 6045 × 6049) / 1
LCM(6045,6049) = 36566205 / 1
LCM(6045,6049) = 36566205
Properties of LCM 6045 and 6049
(i) The LCM of 6049 and 6045 is associative
LCM of 6045 and 6049 = LCM of 6049 and 6045
Related Least Common Multiples of 6045
Related Least Common Multiples of 6049
Frequently Asked Questions on LCM of 6045 and 6049
1. What is the LCM of 6045 and 6049?
Answer: LCM of 6045 and 6049 is 36566205.
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 6049?
Answer: Factors of 6049 are 1, 23, 263, 6049. There are 4 integers that are factors of 6049. The greatest factor of 6049 is 6049.
4. How to Find the LCM of 6045 and 6049?
Answer:
Least Common Multiple of 6045 and 6049 = 36566205
Step 1: Find the prime factorization of 6045
6045 = 3 x 5 x 13 x 31
Step 2: Find the prime factorization of 6049
6049 = 23 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36566205 = 3 x 5 x 13 x 23 x 31 x 263
Step 4: Therefore, the least common multiple of 6045 and 6049 is 36566205.