Least Common Multiple of 6734 and 6739
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6734 and 6739 the smallest integer that is 45380426 that is divisible by both numbers.
Least Common Multiple (LCM) of 6734 and 6739 is 45380426.
LCM(6734,6739) = 45380426
LCM of 6734 and 6739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6734 and 6739 by Prime method
- Least Common Multiple of 6734 and 6739 with GCF Formula
LCM of 6734 and 6739 is 45380426
Least common multiple can be found by multiplying the highest exponent prime factors of 6734 and 6739. First we will calculate the prime factors of 6734 and 6739.
Prime Factorization of 6734
| 2 | 6734 |
| 7 | 3367 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 6734 are 2, 7, 13,37. Prime factorization of 6734 in exponential form is:
6734 = 21×71×131×371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6734 and 6739.
LCM(6734,6739) = 21×71×131×231×371×2931
LCM(6734,6739) = 45380426
Factors of 6734
List of positive integer factors of 6734 that divides 6734 without a remainder.
1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1, 23, 293, 6739
Least Common Multiple of 6734 and 6739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6734 and 6739, than apply into the LCM equation.
GCF(6734,6739) = 1
LCM(6734,6739) = ( 6734 × 6739) / 1
LCM(6734,6739) = 45380426 / 1
LCM(6734,6739) = 45380426
Properties of LCM 6734 and 6739
(i) The LCM of 6739 and 6734 is associative
LCM of 6734 and 6739 = LCM of 6739 and 6734
Related Least Common Multiples of 6734
Related Least Common Multiples of 6739
Frequently Asked Questions on LCM of 6734 and 6739
1. What is the LCM of 6734 and 6739?
Answer: LCM of 6734 and 6739 is 45380426.
2. What are the Factors of 6734?
Answer: Factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734. There are 16 integers that are factors of 6734. The greatest factor of 6734 is 6734.
3. 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.
4. How to Find the LCM of 6734 and 6739?
Answer:
Least Common Multiple of 6734 and 6739 = 45380426
Step 1: Find the prime factorization of 6734
6734 = 2 x 7 x 13 x 37
Step 2: Find the prime factorization of 6739
6739 = 23 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45380426 = 2 x 7 x 13 x 23 x 37 x 293
Step 4: Therefore, the least common multiple of 6734 and 6739 is 45380426.