Least Common Multiple of 6741 and 6746
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 6746 the smallest integer that is 45474786 that is divisible by both numbers.
Least Common Multiple (LCM) of 6741 and 6746 is 45474786.
LCM(6741,6746) = 45474786
LCM of 6741 and 6746
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6741 and 6746 by Prime method
- Least Common Multiple of 6741 and 6746 with GCF Formula
LCM of 6741 and 6746 is 45474786
Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6746. First we will calculate the prime factors of 6741 and 6746.
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 6746
| 2 | 6746 |
| 3373 | 3373 |
| 1 |
Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:
6746 = 21×33731
Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6746.
LCM(6741,6746) = 21×32×71×1071×33731
LCM(6741,6746) = 45474786
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 6746
List of positive integer factors of 6746 that divides 6746 without a remainder.
1, 2, 3373, 6746
Least Common Multiple of 6741 and 6746 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 6746, than apply into the LCM equation.
GCF(6741,6746) = 1
LCM(6741,6746) = ( 6741 × 6746) / 1
LCM(6741,6746) = 45474786 / 1
LCM(6741,6746) = 45474786
Properties of LCM 6741 and 6746
(i) The LCM of 6746 and 6741 is associative
LCM of 6741 and 6746 = LCM of 6746 and 6741
Related Least Common Multiples of 6741
Related Least Common Multiples of 6746
Frequently Asked Questions on LCM of 6741 and 6746
1. What is the LCM of 6741 and 6746?
Answer: LCM of 6741 and 6746 is 45474786.
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 6746?
Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.
4. How to Find the LCM of 6741 and 6746?
Answer:
Least Common Multiple of 6741 and 6746 = 45474786
Step 1: Find the prime factorization of 6741
6741 = 3 x 3 x 7 x 107
Step 2: Find the prime factorization of 6746
6746 = 2 x 3373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45474786 = 2 x 3 x 3 x 7 x 107 x 3373
Step 4: Therefore, the least common multiple of 6741 and 6746 is 45474786.