Least Common Multiple of 6727 and 6731
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6727 and 6731 the smallest integer that is 45279437 that is divisible by both numbers.
Least Common Multiple (LCM) of 6727 and 6731 is 45279437.
LCM(6727,6731) = 45279437
LCM of 6727 and 6731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6727 and 6731 by Prime method
- Least Common Multiple of 6727 and 6731 with GCF Formula
LCM of 6727 and 6731 is 45279437
Least common multiple can be found by multiplying the highest exponent prime factors of 6727 and 6731. First we will calculate the prime factors of 6727 and 6731.
Prime Factorization of 6727
| 7 | 6727 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 6727 are 7,31. Prime factorization of 6727 in exponential form is:
6727 = 71×312
Prime Factorization of 6731
| 53 | 6731 |
| 127 | 127 |
| 1 |
Prime factors of 6731 are 53,127. Prime factorization of 6731 in exponential form is:
6731 = 531×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 6727 and 6731.
LCM(6727,6731) = 71×312×531×1271
LCM(6727,6731) = 45279437
Factors of 6727
List of positive integer factors of 6727 that divides 6727 without a remainder.
1, 7, 31, 217, 961, 6727
Factors of 6731
List of positive integer factors of 6731 that divides 6731 without a remainder.
1, 53, 127, 6731
Least Common Multiple of 6727 and 6731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6727 and 6731, than apply into the LCM equation.
GCF(6727,6731) = 1
LCM(6727,6731) = ( 6727 × 6731) / 1
LCM(6727,6731) = 45279437 / 1
LCM(6727,6731) = 45279437
Properties of LCM 6727 and 6731
(i) The LCM of 6731 and 6727 is associative
LCM of 6727 and 6731 = LCM of 6731 and 6727
Related Least Common Multiples of 6727
Related Least Common Multiples of 6731
Frequently Asked Questions on LCM of 6727 and 6731
1. What is the LCM of 6727 and 6731?
Answer: LCM of 6727 and 6731 is 45279437.
2. What are the Factors of 6727?
Answer: Factors of 6727 are 1, 7, 31, 217, 961, 6727. There are 6 integers that are factors of 6727. The greatest factor of 6727 is 6727.
3. What are the Factors of 6731?
Answer: Factors of 6731 are 1, 53, 127, 6731. There are 4 integers that are factors of 6731. The greatest factor of 6731 is 6731.
4. How to Find the LCM of 6727 and 6731?
Answer:
Least Common Multiple of 6727 and 6731 = 45279437
Step 1: Find the prime factorization of 6727
6727 = 7 x 31 x 31
Step 2: Find the prime factorization of 6731
6731 = 53 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45279437 = 7 x 31 x 31 x 53 x 127
Step 4: Therefore, the least common multiple of 6727 and 6731 is 45279437.