Least Common Multiple of 6769 and 6777
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6769 and 6777 the smallest integer that is 45873513 that is divisible by both numbers.
Least Common Multiple (LCM) of 6769 and 6777 is 45873513.
LCM(6769,6777) = 45873513
LCM of 6769 and 6777
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6769 and 6777 by Prime method
- Least Common Multiple of 6769 and 6777 with GCF Formula
LCM of 6769 and 6777 is 45873513
Least common multiple can be found by multiplying the highest exponent prime factors of 6769 and 6777. First we will calculate the prime factors of 6769 and 6777.
Prime Factorization of 6769
| 7 | 6769 |
| 967 | 967 |
| 1 |
Prime factors of 6769 are 7,967. Prime factorization of 6769 in exponential form is:
6769 = 71×9671
Prime Factorization of 6777
| 3 | 6777 |
| 3 | 2259 |
| 3 | 753 |
| 251 | 251 |
| 1 |
Prime factors of 6777 are 3,251. Prime factorization of 6777 in exponential form is:
6777 = 33×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 6769 and 6777.
LCM(6769,6777) = 33×71×2511×9671
LCM(6769,6777) = 45873513
Factors of 6769
List of positive integer factors of 6769 that divides 6769 without a remainder.
1, 7, 967, 6769
Factors of 6777
List of positive integer factors of 6777 that divides 6777 without a remainder.
1, 3, 9, 27, 251, 753, 2259, 6777
Least Common Multiple of 6769 and 6777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6769 and 6777, than apply into the LCM equation.
GCF(6769,6777) = 1
LCM(6769,6777) = ( 6769 × 6777) / 1
LCM(6769,6777) = 45873513 / 1
LCM(6769,6777) = 45873513
Properties of LCM 6769 and 6777
(i) The LCM of 6777 and 6769 is associative
LCM of 6769 and 6777 = LCM of 6777 and 6769
Related Least Common Multiples of 6769
Related Least Common Multiples of 6777
Frequently Asked Questions on LCM of 6769 and 6777
1. What is the LCM of 6769 and 6777?
Answer: LCM of 6769 and 6777 is 45873513.
2. What are the Factors of 6769?
Answer: Factors of 6769 are 1, 7, 967, 6769. There are 4 integers that are factors of 6769. The greatest factor of 6769 is 6769.
3. What are the Factors of 6777?
Answer: Factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777. There are 8 integers that are factors of 6777. The greatest factor of 6777 is 6777.
4. How to Find the LCM of 6769 and 6777?
Answer:
Least Common Multiple of 6769 and 6777 = 45873513
Step 1: Find the prime factorization of 6769
6769 = 7 x 967
Step 2: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45873513 = 3 x 3 x 3 x 7 x 251 x 967
Step 4: Therefore, the least common multiple of 6769 and 6777 is 45873513.