Least Common Multiple of 6739 and 6741
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6739 and 6741 the smallest integer that is 45427599 that is divisible by both numbers.
Least Common Multiple (LCM) of 6739 and 6741 is 45427599.
LCM(6739,6741) = 45427599
LCM of 6739 and 6741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6739 and 6741 by Prime method
- Least Common Multiple of 6739 and 6741 with GCF Formula
LCM of 6739 and 6741 is 45427599
Least common multiple can be found by multiplying the highest exponent prime factors of 6739 and 6741. First we will calculate the prime factors of 6739 and 6741.
Prime Factorization of 6739
| 23 | 6739 |
| 293 | 293 |
| 1 |
Prime factors of 6739 are 23,293. Prime factorization of 6739 in exponential form is:
6739 = 231×2931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6739 and 6741.
LCM(6739,6741) = 32×71×231×1071×2931
LCM(6739,6741) = 45427599
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1, 23, 293, 6739
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
Least Common Multiple of 6739 and 6741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6739 and 6741, than apply into the LCM equation.
GCF(6739,6741) = 1
LCM(6739,6741) = ( 6739 × 6741) / 1
LCM(6739,6741) = 45427599 / 1
LCM(6739,6741) = 45427599
Properties of LCM 6739 and 6741
(i) The LCM of 6741 and 6739 is associative
LCM of 6739 and 6741 = LCM of 6741 and 6739
Related Least Common Multiples of 6739
Related Least Common Multiples of 6741
Frequently Asked Questions on LCM of 6739 and 6741
1. What is the LCM of 6739 and 6741?
Answer: LCM of 6739 and 6741 is 45427599.
2. What are the Factors of 6739?
Answer: Factors of 6739 are 1, 23, 293, 6739. There are 4 integers that are factors of 6739. The greatest factor of 6739 is 6739.
3. 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.
4. How to Find the LCM of 6739 and 6741?
Answer:
Least Common Multiple of 6739 and 6741 = 45427599
Step 1: Find the prime factorization of 6739
6739 = 23 x 293
Step 2: Find the prime factorization of 6741
6741 = 3 x 3 x 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45427599 = 3 x 3 x 7 x 23 x 107 x 293
Step 4: Therefore, the least common multiple of 6739 and 6741 is 45427599.