Least Common Multiple of 6739 and 6745
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 6745 the smallest integer that is 45454555 that is divisible by both numbers.
Least Common Multiple (LCM) of 6739 and 6745 is 45454555.
LCM(6739,6745) = 45454555
LCM of 6739 and 6745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6739 and 6745 by Prime method
- Least Common Multiple of 6739 and 6745 with GCF Formula
LCM of 6739 and 6745 is 45454555
Least common multiple can be found by multiplying the highest exponent prime factors of 6739 and 6745. First we will calculate the prime factors of 6739 and 6745.
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 6745
| 5 | 6745 |
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 6745 are 5, 19,71. Prime factorization of 6745 in exponential form is:
6745 = 51×191×711
Now multiplying the highest exponent prime factors to calculate the LCM of 6739 and 6745.
LCM(6739,6745) = 51×191×231×711×2931
LCM(6739,6745) = 45454555
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1, 23, 293, 6739
Factors of 6745
List of positive integer factors of 6745 that divides 6745 without a remainder.
1, 5, 19, 71, 95, 355, 1349, 6745
Least Common Multiple of 6739 and 6745 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 6745, than apply into the LCM equation.
GCF(6739,6745) = 1
LCM(6739,6745) = ( 6739 × 6745) / 1
LCM(6739,6745) = 45454555 / 1
LCM(6739,6745) = 45454555
Properties of LCM 6739 and 6745
(i) The LCM of 6745 and 6739 is associative
LCM of 6739 and 6745 = LCM of 6745 and 6739
Related Least Common Multiples of 6739
Related Least Common Multiples of 6745
Frequently Asked Questions on LCM of 6739 and 6745
1. What is the LCM of 6739 and 6745?
Answer: LCM of 6739 and 6745 is 45454555.
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 6745?
Answer: Factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745. There are 8 integers that are factors of 6745. The greatest factor of 6745 is 6745.
4. How to Find the LCM of 6739 and 6745?
Answer:
Least Common Multiple of 6739 and 6745 = 45454555
Step 1: Find the prime factorization of 6739
6739 = 23 x 293
Step 2: Find the prime factorization of 6745
6745 = 5 x 19 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45454555 = 5 x 19 x 23 x 71 x 293
Step 4: Therefore, the least common multiple of 6739 and 6745 is 45454555.