Least Common Multiple of 7707 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 7707 and 7714 the smallest integer that is 8493114 that is divisible by both numbers.
Least Common Multiple (LCM) of 7707 and 7714 is 8493114.
LCM(7707,7714) = 8493114
LCM of 7707 and 7714
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7707 and 7714 by Prime method
- Least Common Multiple of 7707 and 7714 with GCF Formula
LCM of 7707 and 7714 is 8493114
Least common multiple can be found by multiplying the highest exponent prime factors of 7707 and 7714. First we will calculate the prime factors of 7707 and 7714.
Prime Factorization of 7707
| 3 | 7707 |
| 7 | 2569 |
| 367 | 367 |
| 1 |
Prime factors of 7707 are 3, 7,367. Prime factorization of 7707 in exponential form is:
7707 = 31×71×3671
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 7707 and 7714.
LCM(7707,7714) = 21×31×71×191×291×3671
LCM(7707,7714) = 8493114
Factors of 7707
List of positive integer factors of 7707 that divides 7707 without a remainder.
1, 3, 7, 21, 367, 1101, 2569, 7707
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 7707 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 7707 and 7714, than apply into the LCM equation.
GCF(7707,7714) = 7
LCM(7707,7714) = ( 7707 × 7714) / 7
LCM(7707,7714) = 59451798 / 7
LCM(7707,7714) = 8493114
Properties of LCM 7707 and 7714
(i) The LCM of 7714 and 7707 is associative
LCM of 7707 and 7714 = LCM of 7714 and 7707
Related Least Common Multiples of 7707
Related Least Common Multiples of 7714
Frequently Asked Questions on LCM of 7707 and 7714
1. What is the LCM of 7707 and 7714?
Answer: LCM of 7707 and 7714 is 8493114.
2. What are the Factors of 7707?
Answer: Factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707. There are 8 integers that are factors of 7707. The greatest factor of 7707 is 7707.
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 7707 and 7714?
Answer:
Least Common Multiple of 7707 and 7714 = 8493114
Step 1: Find the prime factorization of 7707
7707 = 3 x 7 x 367
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 = 8493114 = 2 x 3 x 7 x 19 x 29 x 367
Step 4: Therefore, the least common multiple of 7707 and 7714 is 8493114.