Least Common Multiple of 1682 and 1687
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 1687 the smallest integer that is 2837534 that is divisible by both numbers.
Least Common Multiple (LCM) of 1682 and 1687 is 2837534.
LCM(1682,1687) = 2837534
LCM of 1682 and 1687
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1682 and 1687 by Prime method
- Least Common Multiple of 1682 and 1687 with GCF Formula
LCM of 1682 and 1687 is 2837534
Least common multiple can be found by multiplying the highest exponent prime factors of 1682 and 1687. First we will calculate the prime factors of 1682 and 1687.
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 1687
| 7 | 1687 |
| 241 | 241 |
| 1 |
Prime factors of 1687 are 7,241. Prime factorization of 1687 in exponential form is:
1687 = 71×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 1682 and 1687.
LCM(1682,1687) = 21×71×292×2411
LCM(1682,1687) = 2837534
Factors of 1682
List of positive integer factors of 1682 that divides 1682 without a remainder.
1, 2, 29, 58, 841, 1682
Factors of 1687
List of positive integer factors of 1687 that divides 1687 without a remainder.
1, 7, 241, 1687
Least Common Multiple of 1682 and 1687 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 1687, than apply into the LCM equation.
GCF(1682,1687) = 1
LCM(1682,1687) = ( 1682 × 1687) / 1
LCM(1682,1687) = 2837534 / 1
LCM(1682,1687) = 2837534
Properties of LCM 1682 and 1687
(i) The LCM of 1687 and 1682 is associative
LCM of 1682 and 1687 = LCM of 1687 and 1682
Related Least Common Multiples of 1682
Related Least Common Multiples of 1687
Frequently Asked Questions on LCM of 1682 and 1687
1. What is the LCM of 1682 and 1687?
Answer: LCM of 1682 and 1687 is 2837534.
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 1687?
Answer: Factors of 1687 are 1, 7, 241, 1687. There are 4 integers that are factors of 1687. The greatest factor of 1687 is 1687.
4. How to Find the LCM of 1682 and 1687?
Answer:
Least Common Multiple of 1682 and 1687 = 2837534
Step 1: Find the prime factorization of 1682
1682 = 2 x 29 x 29
Step 2: Find the prime factorization of 1687
1687 = 7 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2837534 = 2 x 7 x 29 x 29 x 241
Step 4: Therefore, the least common multiple of 1682 and 1687 is 2837534.