Least Common Multiple of 6741 and 6743
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 6743 the smallest integer that is 45454563 that is divisible by both numbers.
Least Common Multiple (LCM) of 6741 and 6743 is 45454563.
LCM(6741,6743) = 45454563
LCM of 6741 and 6743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6741 and 6743 by Prime method
- Least Common Multiple of 6741 and 6743 with GCF Formula
LCM of 6741 and 6743 is 45454563
Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6743. First we will calculate the prime factors of 6741 and 6743.
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 6743
| 11 | 6743 |
| 613 | 613 |
| 1 |
Prime factors of 6743 are 11,613. Prime factorization of 6743 in exponential form is:
6743 = 111×6131
Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6743.
LCM(6741,6743) = 32×71×111×1071×6131
LCM(6741,6743) = 45454563
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 6743
List of positive integer factors of 6743 that divides 6743 without a remainder.
1, 11, 613, 6743
Least Common Multiple of 6741 and 6743 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 6743, than apply into the LCM equation.
GCF(6741,6743) = 1
LCM(6741,6743) = ( 6741 × 6743) / 1
LCM(6741,6743) = 45454563 / 1
LCM(6741,6743) = 45454563
Properties of LCM 6741 and 6743
(i) The LCM of 6743 and 6741 is associative
LCM of 6741 and 6743 = LCM of 6743 and 6741
Related Least Common Multiples of 6741
Related Least Common Multiples of 6743
Frequently Asked Questions on LCM of 6741 and 6743
1. What is the LCM of 6741 and 6743?
Answer: LCM of 6741 and 6743 is 45454563.
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 6743?
Answer: Factors of 6743 are 1, 11, 613, 6743. There are 4 integers that are factors of 6743. The greatest factor of 6743 is 6743.
4. How to Find the LCM of 6741 and 6743?
Answer:
Least Common Multiple of 6741 and 6743 = 45454563
Step 1: Find the prime factorization of 6741
6741 = 3 x 3 x 7 x 107
Step 2: Find the prime factorization of 6743
6743 = 11 x 613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45454563 = 3 x 3 x 7 x 11 x 107 x 613
Step 4: Therefore, the least common multiple of 6741 and 6743 is 45454563.