Least Common Multiple of 7714 and 7721
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7714 and 7721 the smallest integer that is 8508542 that is divisible by both numbers.
Least Common Multiple (LCM) of 7714 and 7721 is 8508542.
LCM(7714,7721) = 8508542
LCM of 7714 and 7721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7714 and 7721 by Prime method
- Least Common Multiple of 7714 and 7721 with GCF Formula
LCM of 7714 and 7721 is 8508542
Least common multiple can be found by multiplying the highest exponent prime factors of 7714 and 7721. First we will calculate the prime factors of 7714 and 7721.
Prime Factorization of 7714
| 2 | 7714 |
| 7 | 3857 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 7714 are 2, 7, 19,29. Prime factorization of 7714 in exponential form is:
7714 = 21×71×191×291
Prime Factorization of 7721
| 7 | 7721 |
| 1103 | 1103 |
| 1 |
Prime factors of 7721 are 7,1103. Prime factorization of 7721 in exponential form is:
7721 = 71×11031
Now multiplying the highest exponent prime factors to calculate the LCM of 7714 and 7721.
LCM(7714,7721) = 21×71×191×291×11031
LCM(7714,7721) = 8508542
Factors of 7714
List of positive integer factors of 7714 that divides 7714 without a remainder.
1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714
Factors of 7721
List of positive integer factors of 7721 that divides 7721 without a remainder.
1, 7, 1103, 7721
Least Common Multiple of 7714 and 7721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7714 and 7721, than apply into the LCM equation.
GCF(7714,7721) = 7
LCM(7714,7721) = ( 7714 × 7721) / 7
LCM(7714,7721) = 59559794 / 7
LCM(7714,7721) = 8508542
Properties of LCM 7714 and 7721
(i) The LCM of 7721 and 7714 is associative
LCM of 7714 and 7721 = LCM of 7721 and 7714
Related Least Common Multiples of 7714
Related Least Common Multiples of 7721
Frequently Asked Questions on LCM of 7714 and 7721
1. What is the LCM of 7714 and 7721?
Answer: LCM of 7714 and 7721 is 8508542.
2. What are the Factors of 7714?
Answer: Factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714. There are 16 integers that are factors of 7714. The greatest factor of 7714 is 7714.
3. What are the Factors of 7721?
Answer: Factors of 7721 are 1, 7, 1103, 7721. There are 4 integers that are factors of 7721. The greatest factor of 7721 is 7721.
4. How to Find the LCM of 7714 and 7721?
Answer:
Least Common Multiple of 7714 and 7721 = 8508542
Step 1: Find the prime factorization of 7714
7714 = 2 x 7 x 19 x 29
Step 2: Find the prime factorization of 7721
7721 = 7 x 1103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8508542 = 2 x 7 x 19 x 29 x 1103
Step 4: Therefore, the least common multiple of 7714 and 7721 is 8508542.