Least Common Multiple of 6745 and 6749
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6745 and 6749 the smallest integer that is 45522005 that is divisible by both numbers.
Least Common Multiple (LCM) of 6745 and 6749 is 45522005.
LCM(6745,6749) = 45522005
LCM of 6745 and 6749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6745 and 6749 by Prime method
- Least Common Multiple of 6745 and 6749 with GCF Formula
LCM of 6745 and 6749 is 45522005
Least common multiple can be found by multiplying the highest exponent prime factors of 6745 and 6749. First we will calculate the prime factors of 6745 and 6749.
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
Prime Factorization of 6749
| 17 | 6749 |
| 397 | 397 |
| 1 |
Prime factors of 6749 are 17,397. Prime factorization of 6749 in exponential form is:
6749 = 171×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 6745 and 6749.
LCM(6745,6749) = 51×171×191×711×3971
LCM(6745,6749) = 45522005
Factors of 6745
List of positive integer factors of 6745 that divides 6745 without a remainder.
1, 5, 19, 71, 95, 355, 1349, 6745
Factors of 6749
List of positive integer factors of 6749 that divides 6749 without a remainder.
1, 17, 397, 6749
Least Common Multiple of 6745 and 6749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6745 and 6749, than apply into the LCM equation.
GCF(6745,6749) = 1
LCM(6745,6749) = ( 6745 × 6749) / 1
LCM(6745,6749) = 45522005 / 1
LCM(6745,6749) = 45522005
Properties of LCM 6745 and 6749
(i) The LCM of 6749 and 6745 is associative
LCM of 6745 and 6749 = LCM of 6749 and 6745
Related Least Common Multiples of 6745
Related Least Common Multiples of 6749
Frequently Asked Questions on LCM of 6745 and 6749
1. What is the LCM of 6745 and 6749?
Answer: LCM of 6745 and 6749 is 45522005.
2. 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.
3. What are the Factors of 6749?
Answer: Factors of 6749 are 1, 17, 397, 6749. There are 4 integers that are factors of 6749. The greatest factor of 6749 is 6749.
4. How to Find the LCM of 6745 and 6749?
Answer:
Least Common Multiple of 6745 and 6749 = 45522005
Step 1: Find the prime factorization of 6745
6745 = 5 x 19 x 71
Step 2: Find the prime factorization of 6749
6749 = 17 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45522005 = 5 x 17 x 19 x 71 x 397
Step 4: Therefore, the least common multiple of 6745 and 6749 is 45522005.