Least Common Multiple of 1682 and 1689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1682 and 1689 the smallest integer that is 2840898 that is divisible by both numbers.
Least Common Multiple (LCM) of 1682 and 1689 is 2840898.
LCM(1682,1689) = 2840898
LCM of 1682 and 1689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1682 and 1689 by Prime method
- Least Common Multiple of 1682 and 1689 with GCF Formula
LCM of 1682 and 1689 is 2840898
Least common multiple can be found by multiplying the highest exponent prime factors of 1682 and 1689. First we will calculate the prime factors of 1682 and 1689.
Prime Factorization of 1682
| 2 | 1682 |
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 1682 are 2,29. Prime factorization of 1682 in exponential form is:
1682 = 21×292
Prime Factorization of 1689
| 3 | 1689 |
| 563 | 563 |
| 1 |
Prime factors of 1689 are 3,563. Prime factorization of 1689 in exponential form is:
1689 = 31×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 1682 and 1689.
LCM(1682,1689) = 21×31×292×5631
LCM(1682,1689) = 2840898
Factors of 1682
List of positive integer factors of 1682 that divides 1682 without a remainder.
1, 2, 29, 58, 841, 1682
Factors of 1689
List of positive integer factors of 1689 that divides 1689 without a remainder.
1, 3, 563, 1689
Least Common Multiple of 1682 and 1689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1682 and 1689, than apply into the LCM equation.
GCF(1682,1689) = 1
LCM(1682,1689) = ( 1682 × 1689) / 1
LCM(1682,1689) = 2840898 / 1
LCM(1682,1689) = 2840898
Properties of LCM 1682 and 1689
(i) The LCM of 1689 and 1682 is associative
LCM of 1682 and 1689 = LCM of 1689 and 1682
Related Least Common Multiples of 1682
Related Least Common Multiples of 1689
Frequently Asked Questions on LCM of 1682 and 1689
1. What is the LCM of 1682 and 1689?
Answer: LCM of 1682 and 1689 is 2840898.
2. What are the Factors of 1682?
Answer: Factors of 1682 are 1, 2, 29, 58, 841, 1682. There are 6 integers that are factors of 1682. The greatest factor of 1682 is 1682.
3. What are the Factors of 1689?
Answer: Factors of 1689 are 1, 3, 563, 1689. There are 4 integers that are factors of 1689. The greatest factor of 1689 is 1689.
4. How to Find the LCM of 1682 and 1689?
Answer:
Least Common Multiple of 1682 and 1689 = 2840898
Step 1: Find the prime factorization of 1682
1682 = 2 x 29 x 29
Step 2: Find the prime factorization of 1689
1689 = 3 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2840898 = 2 x 3 x 29 x 29 x 563
Step 4: Therefore, the least common multiple of 1682 and 1689 is 2840898.