Least Common Multiple of 7685 and 7689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7685 and 7689 the smallest integer that is 59089965 that is divisible by both numbers.
Least Common Multiple (LCM) of 7685 and 7689 is 59089965.
LCM(7685,7689) = 59089965
LCM of 7685 and 7689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7685 and 7689 by Prime method
- Least Common Multiple of 7685 and 7689 with GCF Formula
LCM of 7685 and 7689 is 59089965
Least common multiple can be found by multiplying the highest exponent prime factors of 7685 and 7689. First we will calculate the prime factors of 7685 and 7689.
Prime Factorization of 7685
| 5 | 7685 |
| 29 | 1537 |
| 53 | 53 |
| 1 |
Prime factors of 7685 are 5, 29,53. Prime factorization of 7685 in exponential form is:
7685 = 51×291×531
Prime Factorization of 7689
| 3 | 7689 |
| 11 | 2563 |
| 233 | 233 |
| 1 |
Prime factors of 7689 are 3, 11,233. Prime factorization of 7689 in exponential form is:
7689 = 31×111×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 7685 and 7689.
LCM(7685,7689) = 31×51×111×291×531×2331
LCM(7685,7689) = 59089965
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1, 5, 29, 53, 145, 265, 1537, 7685
Factors of 7689
List of positive integer factors of 7689 that divides 7689 without a remainder.
1, 3, 11, 33, 233, 699, 2563, 7689
Least Common Multiple of 7685 and 7689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7685 and 7689, than apply into the LCM equation.
GCF(7685,7689) = 1
LCM(7685,7689) = ( 7685 × 7689) / 1
LCM(7685,7689) = 59089965 / 1
LCM(7685,7689) = 59089965
Properties of LCM 7685 and 7689
(i) The LCM of 7689 and 7685 is associative
LCM of 7685 and 7689 = LCM of 7689 and 7685
Related Least Common Multiples of 7685
Related Least Common Multiples of 7689
Frequently Asked Questions on LCM of 7685 and 7689
1. What is the LCM of 7685 and 7689?
Answer: LCM of 7685 and 7689 is 59089965.
2. What are the Factors of 7685?
Answer: Factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685. There are 8 integers that are factors of 7685. The greatest factor of 7685 is 7685.
3. What are the Factors of 7689?
Answer: Factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689. There are 8 integers that are factors of 7689. The greatest factor of 7689 is 7689.
4. How to Find the LCM of 7685 and 7689?
Answer:
Least Common Multiple of 7685 and 7689 = 59089965
Step 1: Find the prime factorization of 7685
7685 = 5 x 29 x 53
Step 2: Find the prime factorization of 7689
7689 = 3 x 11 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59089965 = 3 x 5 x 11 x 29 x 53 x 233
Step 4: Therefore, the least common multiple of 7685 and 7689 is 59089965.