Least Common Multiple of 682 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 682 and 689 the smallest integer that is 469898 that is divisible by both numbers.
Least Common Multiple (LCM) of 682 and 689 is 469898.
LCM(682,689) = 469898
LCM of 682 and 689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 682 and 689 by Prime method
- Least Common Multiple of 682 and 689 with GCF Formula
LCM of 682 and 689 is 469898
Least common multiple can be found by multiplying the highest exponent prime factors of 682 and 689. First we will calculate the prime factors of 682 and 689.
Prime Factorization of 682
| 2 | 682 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:
682 = 21×111×311
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 682 and 689.
LCM(682,689) = 21×111×131×311×531
LCM(682,689) = 469898
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Least Common Multiple of 682 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 682 and 689, than apply into the LCM equation.
GCF(682,689) = 1
LCM(682,689) = ( 682 × 689) / 1
LCM(682,689) = 469898 / 1
LCM(682,689) = 469898
Properties of LCM 682 and 689
(i) The LCM of 689 and 682 is associative
LCM of 682 and 689 = LCM of 689 and 682
Related Least Common Multiples of 682
Related Least Common Multiples of 689
Frequently Asked Questions on LCM of 682 and 689
1. What is the LCM of 682 and 689?
Answer: LCM of 682 and 689 is 469898.
2. What are the Factors of 682?
Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.
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 682 and 689?
Answer:
Least Common Multiple of 682 and 689 = 469898
Step 1: Find the prime factorization of 682
682 = 2 x 11 x 31
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 = 469898 = 2 x 11 x 13 x 31 x 53
Step 4: Therefore, the least common multiple of 682 and 689 is 469898.
