Least Common Multiple of 2717 and 2721
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2717 and 2721 the smallest integer that is 7392957 that is divisible by both numbers.
Least Common Multiple (LCM) of 2717 and 2721 is 7392957.
LCM(2717,2721) = 7392957
LCM of 2717 and 2721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2717 and 2721 by Prime method
- Least Common Multiple of 2717 and 2721 with GCF Formula
LCM of 2717 and 2721 is 7392957
Least common multiple can be found by multiplying the highest exponent prime factors of 2717 and 2721. First we will calculate the prime factors of 2717 and 2721.
Prime Factorization of 2717
| 11 | 2717 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 2717 are 11, 13,19. Prime factorization of 2717 in exponential form is:
2717 = 111×131×191
Prime Factorization of 2721
| 3 | 2721 |
| 907 | 907 |
| 1 |
Prime factors of 2721 are 3,907. Prime factorization of 2721 in exponential form is:
2721 = 31×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 2717 and 2721.
LCM(2717,2721) = 31×111×131×191×9071
LCM(2717,2721) = 7392957
Factors of 2717
List of positive integer factors of 2717 that divides 2717 without a remainder.
1, 11, 13, 19, 143, 209, 247, 2717
Factors of 2721
List of positive integer factors of 2721 that divides 2721 without a remainder.
1, 3, 907, 2721
Least Common Multiple of 2717 and 2721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2717 and 2721, than apply into the LCM equation.
GCF(2717,2721) = 1
LCM(2717,2721) = ( 2717 × 2721) / 1
LCM(2717,2721) = 7392957 / 1
LCM(2717,2721) = 7392957
Properties of LCM 2717 and 2721
(i) The LCM of 2721 and 2717 is associative
LCM of 2717 and 2721 = LCM of 2721 and 2717
Related Least Common Multiples of 2717
Related Least Common Multiples of 2721
Frequently Asked Questions on LCM of 2717 and 2721
1. What is the LCM of 2717 and 2721?
Answer: LCM of 2717 and 2721 is 7392957.
2. What are the Factors of 2717?
Answer: Factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717. There are 8 integers that are factors of 2717. The greatest factor of 2717 is 2717.
3. What are the Factors of 2721?
Answer: Factors of 2721 are 1, 3, 907, 2721. There are 4 integers that are factors of 2721. The greatest factor of 2721 is 2721.
4. How to Find the LCM of 2717 and 2721?
Answer:
Least Common Multiple of 2717 and 2721 = 7392957
Step 1: Find the prime factorization of 2717
2717 = 11 x 13 x 19
Step 2: Find the prime factorization of 2721
2721 = 3 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7392957 = 3 x 11 x 13 x 19 x 907
Step 4: Therefore, the least common multiple of 2717 and 2721 is 7392957.