Least Common Multiple of 6745 and 6751
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 6751 the smallest integer that is 45535495 that is divisible by both numbers.
Least Common Multiple (LCM) of 6745 and 6751 is 45535495.
LCM(6745,6751) = 45535495
LCM of 6745 and 6751
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6745 and 6751 by Prime method
- Least Common Multiple of 6745 and 6751 with GCF Formula
LCM of 6745 and 6751 is 45535495
Least common multiple can be found by multiplying the highest exponent prime factors of 6745 and 6751. First we will calculate the prime factors of 6745 and 6751.
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 6751
| 43 | 6751 |
| 157 | 157 |
| 1 |
Prime factors of 6751 are 43,157. Prime factorization of 6751 in exponential form is:
6751 = 431×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 6745 and 6751.
LCM(6745,6751) = 51×191×431×711×1571
LCM(6745,6751) = 45535495
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 6751
List of positive integer factors of 6751 that divides 6751 without a remainder.
1, 43, 157, 6751
Least Common Multiple of 6745 and 6751 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 6751, than apply into the LCM equation.
GCF(6745,6751) = 1
LCM(6745,6751) = ( 6745 × 6751) / 1
LCM(6745,6751) = 45535495 / 1
LCM(6745,6751) = 45535495
Properties of LCM 6745 and 6751
(i) The LCM of 6751 and 6745 is associative
LCM of 6745 and 6751 = LCM of 6751 and 6745
Related Least Common Multiples of 6745
Related Least Common Multiples of 6751
Frequently Asked Questions on LCM of 6745 and 6751
1. What is the LCM of 6745 and 6751?
Answer: LCM of 6745 and 6751 is 45535495.
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 6751?
Answer: Factors of 6751 are 1, 43, 157, 6751. There are 4 integers that are factors of 6751. The greatest factor of 6751 is 6751.
4. How to Find the LCM of 6745 and 6751?
Answer:
Least Common Multiple of 6745 and 6751 = 45535495
Step 1: Find the prime factorization of 6745
6745 = 5 x 19 x 71
Step 2: Find the prime factorization of 6751
6751 = 43 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45535495 = 5 x 19 x 43 x 71 x 157
Step 4: Therefore, the least common multiple of 6745 and 6751 is 45535495.