Least Common Multiple of 6739 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 6739 and 6747 the smallest integer that is 45468033 that is divisible by both numbers.
Least Common Multiple (LCM) of 6739 and 6747 is 45468033.
LCM(6739,6747) = 45468033
LCM of 6739 and 6747
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6739 and 6747 by Prime method
- Least Common Multiple of 6739 and 6747 with GCF Formula
LCM of 6739 and 6747 is 45468033
Least common multiple can be found by multiplying the highest exponent prime factors of 6739 and 6747. First we will calculate the prime factors of 6739 and 6747.
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 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 6739 and 6747.
LCM(6739,6747) = 31×131×231×1731×2931
LCM(6739,6747) = 45468033
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1, 23, 293, 6739
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 6739 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 6739 and 6747, than apply into the LCM equation.
GCF(6739,6747) = 1
LCM(6739,6747) = ( 6739 × 6747) / 1
LCM(6739,6747) = 45468033 / 1
LCM(6739,6747) = 45468033
Properties of LCM 6739 and 6747
(i) The LCM of 6747 and 6739 is associative
LCM of 6739 and 6747 = LCM of 6747 and 6739
Related Least Common Multiples of 6739
Related Least Common Multiples of 6747
Frequently Asked Questions on LCM of 6739 and 6747
1. What is the LCM of 6739 and 6747?
Answer: LCM of 6739 and 6747 is 45468033.
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 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 6739 and 6747?
Answer:
Least Common Multiple of 6739 and 6747 = 45468033
Step 1: Find the prime factorization of 6739
6739 = 23 x 293
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 = 45468033 = 3 x 13 x 23 x 173 x 293
Step 4: Therefore, the least common multiple of 6739 and 6747 is 45468033.