Least Common Multiple of 687 and 689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 687 and 689 the smallest integer that is 473343 that is divisible by both numbers.
Least Common Multiple (LCM) of 687 and 689 is 473343.
LCM(687,689) = 473343
LCM of 687 and 689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 687 and 689 by Prime method
- Least Common Multiple of 687 and 689 with GCF Formula
LCM of 687 and 689 is 473343
Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 689. First we will calculate the prime factors of 687 and 689.
Prime Factorization of 687
| 3 | 687 |
| 229 | 229 |
| 1 |
Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:
687 = 31×2291
Prime Factorization of 689
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:
689 = 131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 687 and 689.
LCM(687,689) = 31×131×531×2291
LCM(687,689) = 473343
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Least Common Multiple of 687 and 689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 687 and 689, than apply into the LCM equation.
GCF(687,689) = 1
LCM(687,689) = ( 687 × 689) / 1
LCM(687,689) = 473343 / 1
LCM(687,689) = 473343
Properties of LCM 687 and 689
(i) The LCM of 689 and 687 is associative
LCM of 687 and 689 = LCM of 689 and 687
Related Least Common Multiples of 687
Related Least Common Multiples of 689
Frequently Asked Questions on LCM of 687 and 689
1. What is the LCM of 687 and 689?
Answer: LCM of 687 and 689 is 473343.
2. What are the Factors of 687?
Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.
3. What are the Factors of 689?
Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.
4. How to Find the LCM of 687 and 689?
Answer:
Least Common Multiple of 687 and 689 = 473343
Step 1: Find the prime factorization of 687
687 = 3 x 229
Step 2: Find the prime factorization of 689
689 = 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 473343 = 3 x 13 x 53 x 229
Step 4: Therefore, the least common multiple of 687 and 689 is 473343.
