Least Common Multiple of 6715 and 6721
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6715 and 6721 the smallest integer that is 45131515 that is divisible by both numbers.
Least Common Multiple (LCM) of 6715 and 6721 is 45131515.
LCM(6715,6721) = 45131515
LCM of 6715 and 6721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6715 and 6721 by Prime method
- Least Common Multiple of 6715 and 6721 with GCF Formula
LCM of 6715 and 6721 is 45131515
Least common multiple can be found by multiplying the highest exponent prime factors of 6715 and 6721. First we will calculate the prime factors of 6715 and 6721.
Prime Factorization of 6715
| 5 | 6715 |
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 6715 are 5, 17,79. Prime factorization of 6715 in exponential form is:
6715 = 51×171×791
Prime Factorization of 6721
| 11 | 6721 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 6721 are 11, 13,47. Prime factorization of 6721 in exponential form is:
6721 = 111×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6715 and 6721.
LCM(6715,6721) = 51×111×131×171×471×791
LCM(6715,6721) = 45131515
Factors of 6715
List of positive integer factors of 6715 that divides 6715 without a remainder.
1, 5, 17, 79, 85, 395, 1343, 6715
Factors of 6721
List of positive integer factors of 6721 that divides 6721 without a remainder.
1, 11, 13, 47, 143, 517, 611, 6721
Least Common Multiple of 6715 and 6721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6715 and 6721, than apply into the LCM equation.
GCF(6715,6721) = 1
LCM(6715,6721) = ( 6715 × 6721) / 1
LCM(6715,6721) = 45131515 / 1
LCM(6715,6721) = 45131515
Properties of LCM 6715 and 6721
(i) The LCM of 6721 and 6715 is associative
LCM of 6715 and 6721 = LCM of 6721 and 6715
Related Least Common Multiples of 6715
Related Least Common Multiples of 6721
Frequently Asked Questions on LCM of 6715 and 6721
1. What is the LCM of 6715 and 6721?
Answer: LCM of 6715 and 6721 is 45131515.
2. What are the Factors of 6715?
Answer: Factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715. There are 8 integers that are factors of 6715. The greatest factor of 6715 is 6715.
3. What are the Factors of 6721?
Answer: Factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721. There are 8 integers that are factors of 6721. The greatest factor of 6721 is 6721.
4. How to Find the LCM of 6715 and 6721?
Answer:
Least Common Multiple of 6715 and 6721 = 45131515
Step 1: Find the prime factorization of 6715
6715 = 5 x 17 x 79
Step 2: Find the prime factorization of 6721
6721 = 11 x 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45131515 = 5 x 11 x 13 x 17 x 47 x 79
Step 4: Therefore, the least common multiple of 6715 and 6721 is 45131515.