Least Common Multiple of 7689 and 7697
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7689 and 7697 the smallest integer that is 59182233 that is divisible by both numbers.
Least Common Multiple (LCM) of 7689 and 7697 is 59182233.
LCM(7689,7697) = 59182233
LCM of 7689 and 7697
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7689 and 7697 by Prime method
- Least Common Multiple of 7689 and 7697 with GCF Formula
LCM of 7689 and 7697 is 59182233
Least common multiple can be found by multiplying the highest exponent prime factors of 7689 and 7697. First we will calculate the prime factors of 7689 and 7697.
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
Prime Factorization of 7697
| 43 | 7697 |
| 179 | 179 |
| 1 |
Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:
7697 = 431×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 7689 and 7697.
LCM(7689,7697) = 31×111×431×1791×2331
LCM(7689,7697) = 59182233
Factors of 7689
List of positive integer factors of 7689 that divides 7689 without a remainder.
1, 3, 11, 33, 233, 699, 2563, 7689
Factors of 7697
List of positive integer factors of 7697 that divides 7697 without a remainder.
1, 43, 179, 7697
Least Common Multiple of 7689 and 7697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7689 and 7697, than apply into the LCM equation.
GCF(7689,7697) = 1
LCM(7689,7697) = ( 7689 × 7697) / 1
LCM(7689,7697) = 59182233 / 1
LCM(7689,7697) = 59182233
Properties of LCM 7689 and 7697
(i) The LCM of 7697 and 7689 is associative
LCM of 7689 and 7697 = LCM of 7697 and 7689
Related Least Common Multiples of 7689
Related Least Common Multiples of 7697
Frequently Asked Questions on LCM of 7689 and 7697
1. What is the LCM of 7689 and 7697?
Answer: LCM of 7689 and 7697 is 59182233.
2. 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.
3. What are the Factors of 7697?
Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.
4. How to Find the LCM of 7689 and 7697?
Answer:
Least Common Multiple of 7689 and 7697 = 59182233
Step 1: Find the prime factorization of 7689
7689 = 3 x 11 x 233
Step 2: Find the prime factorization of 7697
7697 = 43 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59182233 = 3 x 11 x 43 x 179 x 233
Step 4: Therefore, the least common multiple of 7689 and 7697 is 59182233.