Least Common Multiple of 6741 and 6747
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 6747 the smallest integer that is 15160509 that is divisible by both numbers.
Least Common Multiple (LCM) of 6741 and 6747 is 15160509.
LCM(6741,6747) = 15160509
LCM of 6741 and 6747
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6741 and 6747 by Prime method
- Least Common Multiple of 6741 and 6747 with GCF Formula
LCM of 6741 and 6747 is 15160509
Least common multiple can be found by multiplying the highest exponent prime factors of 6741 and 6747. First we will calculate the prime factors of 6741 and 6747.
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 6747
| 3 | 6747 |
| 13 | 2249 |
| 173 | 173 |
| 1 |
Prime factors of 6747 are 3, 13,173. Prime factorization of 6747 in exponential form is:
6747 = 31×131×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 6741 and 6747.
LCM(6741,6747) = 32×71×131×1071×1731
LCM(6741,6747) = 15160509
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 6747
List of positive integer factors of 6747 that divides 6747 without a remainder.
1, 3, 13, 39, 173, 519, 2249, 6747
Least Common Multiple of 6741 and 6747 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 6747, than apply into the LCM equation.
GCF(6741,6747) = 3
LCM(6741,6747) = ( 6741 × 6747) / 3
LCM(6741,6747) = 45481527 / 3
LCM(6741,6747) = 15160509
Properties of LCM 6741 and 6747
(i) The LCM of 6747 and 6741 is associative
LCM of 6741 and 6747 = LCM of 6747 and 6741
Related Least Common Multiples of 6741
Related Least Common Multiples of 6747
Frequently Asked Questions on LCM of 6741 and 6747
1. What is the LCM of 6741 and 6747?
Answer: LCM of 6741 and 6747 is 15160509.
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 6747?
Answer: Factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747. There are 8 integers that are factors of 6747. The greatest factor of 6747 is 6747.
4. How to Find the LCM of 6741 and 6747?
Answer:
Least Common Multiple of 6741 and 6747 = 15160509
Step 1: Find the prime factorization of 6741
6741 = 3 x 3 x 7 x 107
Step 2: Find the prime factorization of 6747
6747 = 3 x 13 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15160509 = 3 x 3 x 7 x 13 x 107 x 173
Step 4: Therefore, the least common multiple of 6741 and 6747 is 15160509.