Least Common Multiple of 6741 and 6745
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6741 and 6745 the smallest integer that is 45468045 that is divisible by both numbers.
Least Common Multiple (LCM) of 6741 and 6745 is 45468045.
LCM(6741,6745) = 45468045
LCM of 6741 and 6745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6741 and 6745 by Prime method
- Least Common Multiple of 6741 and 6745 with GCF Formula
LCM of 6741 and 6745 is 45468045
Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6745. First we will calculate the prime factors of 6741 and 6745.
Prime Factorization of 6741
| 3 | 6741 |
| 3 | 2247 |
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 6741 are 3, 7,107. Prime factorization of 6741 in exponential form is:
6741 = 32×71×1071
Prime Factorization of 6745
| 5 | 6745 |
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 6745 are 5, 19,71. Prime factorization of 6745 in exponential form is:
6745 = 51×191×711
Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6745.
LCM(6741,6745) = 32×51×71×191×711×1071
LCM(6741,6745) = 45468045
Factors of 6741
List of positive integer factors of 6741 that divides 6741 without a remainder.
1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741
Factors of 6745
List of positive integer factors of 6745 that divides 6745 without a remainder.
1, 5, 19, 71, 95, 355, 1349, 6745
Least Common Multiple of 6741 and 6745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6741 and 6745, than apply into the LCM equation.
GCF(6741,6745) = 1
LCM(6741,6745) = ( 6741 × 6745) / 1
LCM(6741,6745) = 45468045 / 1
LCM(6741,6745) = 45468045
Properties of LCM 6741 and 6745
(i) The LCM of 6745 and 6741 is associative
LCM of 6741 and 6745 = LCM of 6745 and 6741
Related Least Common Multiples of 6741
Related Least Common Multiples of 6745
Frequently Asked Questions on LCM of 6741 and 6745
1. What is the LCM of 6741 and 6745?
Answer: LCM of 6741 and 6745 is 45468045.
2. What are the Factors of 6741?
Answer: Factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741. There are 12 integers that are factors of 6741. The greatest factor of 6741 is 6741.
3. What are the Factors of 6745?
Answer: Factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745. There are 8 integers that are factors of 6745. The greatest factor of 6745 is 6745.
4. How to Find the LCM of 6741 and 6745?
Answer:
Least Common Multiple of 6741 and 6745 = 45468045
Step 1: Find the prime factorization of 6741
6741 = 3 x 3 x 7 x 107
Step 2: Find the prime factorization of 6745
6745 = 5 x 19 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 = 45468045 = 3 x 3 x 5 x 7 x 19 x 71 x 107
Step 4: Therefore, the least common multiple of 6741 and 6745 is 45468045.