Least Common Multiple of 686 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 686 and 689 the smallest integer that is 472654 that is divisible by both numbers.
Least Common Multiple (LCM) of 686 and 689 is 472654.
LCM(686,689) = 472654
LCM of 686 and 689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 686 and 689 by Prime method
- Least Common Multiple of 686 and 689 with GCF Formula
LCM of 686 and 689 is 472654
Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 689. First we will calculate the prime factors of 686 and 689.
Prime Factorization of 686
| 2 | 686 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:
686 = 21×73
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 686 and 689.
LCM(686,689) = 21×73×131×531
LCM(686,689) = 472654
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Least Common Multiple of 686 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 686 and 689, than apply into the LCM equation.
GCF(686,689) = 1
LCM(686,689) = ( 686 × 689) / 1
LCM(686,689) = 472654 / 1
LCM(686,689) = 472654
Properties of LCM 686 and 689
(i) The LCM of 689 and 686 is associative
LCM of 686 and 689 = LCM of 689 and 686
Related Least Common Multiples of 686
Related Least Common Multiples of 689
Frequently Asked Questions on LCM of 686 and 689
1. What is the LCM of 686 and 689?
Answer: LCM of 686 and 689 is 472654.
2. What are the Factors of 686?
Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.
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 686 and 689?
Answer:
Least Common Multiple of 686 and 689 = 472654
Step 1: Find the prime factorization of 686
686 = 2 x 7 x 7 x 7
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 = 472654 = 2 x 7 x 7 x 7 x 13 x 53
Step 4: Therefore, the least common multiple of 686 and 689 is 472654.
