Least Common Multiple of 7709 and 7714
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7709 and 7714 the smallest integer that is 59467226 that is divisible by both numbers.
Least Common Multiple (LCM) of 7709 and 7714 is 59467226.
LCM(7709,7714) = 59467226
LCM of 7709 and 7714
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7709 and 7714 by Prime method
- Least Common Multiple of 7709 and 7714 with GCF Formula
LCM of 7709 and 7714 is 59467226
Least common multiple can be found by multiplying the highest exponent prime factors of 7709 and 7714. First we will calculate the prime factors of 7709 and 7714.
Prime Factorization of 7709
| 13 | 7709 |
| 593 | 593 |
| 1 |
Prime factors of 7709 are 13,593. Prime factorization of 7709 in exponential form is:
7709 = 131×5931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7709 and 7714.
LCM(7709,7714) = 21×71×131×191×291×5931
LCM(7709,7714) = 59467226
Factors of 7709
List of positive integer factors of 7709 that divides 7709 without a remainder.
1, 13, 593, 7709
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
Least Common Multiple of 7709 and 7714 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7709 and 7714, than apply into the LCM equation.
GCF(7709,7714) = 1
LCM(7709,7714) = ( 7709 × 7714) / 1
LCM(7709,7714) = 59467226 / 1
LCM(7709,7714) = 59467226
Properties of LCM 7709 and 7714
(i) The LCM of 7714 and 7709 is associative
LCM of 7709 and 7714 = LCM of 7714 and 7709
Related Least Common Multiples of 7709
Related Least Common Multiples of 7714
Frequently Asked Questions on LCM of 7709 and 7714
1. What is the LCM of 7709 and 7714?
Answer: LCM of 7709 and 7714 is 59467226.
2. What are the Factors of 7709?
Answer: Factors of 7709 are 1, 13, 593, 7709. There are 4 integers that are factors of 7709. The greatest factor of 7709 is 7709.
3. 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.
4. How to Find the LCM of 7709 and 7714?
Answer:
Least Common Multiple of 7709 and 7714 = 59467226
Step 1: Find the prime factorization of 7709
7709 = 13 x 593
Step 2: Find the prime factorization of 7714
7714 = 2 x 7 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59467226 = 2 x 7 x 13 x 19 x 29 x 593
Step 4: Therefore, the least common multiple of 7709 and 7714 is 59467226.