Least Common Multiple of 6717 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 6717 and 6721 the smallest integer that is 45144957 that is divisible by both numbers.
Least Common Multiple (LCM) of 6717 and 6721 is 45144957.
LCM(6717,6721) = 45144957
LCM of 6717 and 6721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6717 and 6721 by Prime method
- Least Common Multiple of 6717 and 6721 with GCF Formula
LCM of 6717 and 6721 is 45144957
Least common multiple can be found by multiplying the highest exponent prime factors of 6717 and 6721. First we will calculate the prime factors of 6717 and 6721.
Prime Factorization of 6717
| 3 | 6717 |
| 2239 | 2239 |
| 1 |
Prime factors of 6717 are 3,2239. Prime factorization of 6717 in exponential form is:
6717 = 31×22391
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 6717 and 6721.
LCM(6717,6721) = 31×111×131×471×22391
LCM(6717,6721) = 45144957
Factors of 6717
List of positive integer factors of 6717 that divides 6717 without a remainder.
1, 3, 2239, 6717
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 6717 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 6717 and 6721, than apply into the LCM equation.
GCF(6717,6721) = 1
LCM(6717,6721) = ( 6717 × 6721) / 1
LCM(6717,6721) = 45144957 / 1
LCM(6717,6721) = 45144957
Properties of LCM 6717 and 6721
(i) The LCM of 6721 and 6717 is associative
LCM of 6717 and 6721 = LCM of 6721 and 6717
Related Least Common Multiples of 6717
Related Least Common Multiples of 6721
Frequently Asked Questions on LCM of 6717 and 6721
1. What is the LCM of 6717 and 6721?
Answer: LCM of 6717 and 6721 is 45144957.
2. What are the Factors of 6717?
Answer: Factors of 6717 are 1, 3, 2239, 6717. There are 4 integers that are factors of 6717. The greatest factor of 6717 is 6717.
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 6717 and 6721?
Answer:
Least Common Multiple of 6717 and 6721 = 45144957
Step 1: Find the prime factorization of 6717
6717 = 3 x 2239
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 = 45144957 = 3 x 11 x 13 x 47 x 2239
Step 4: Therefore, the least common multiple of 6717 and 6721 is 45144957.