Least Common Multiple of 1677 and 1685
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1677 and 1685 the smallest integer that is 2825745 that is divisible by both numbers.
Least Common Multiple (LCM) of 1677 and 1685 is 2825745.
LCM(1677,1685) = 2825745
LCM of 1677 and 1685
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1677 and 1685 by Prime method
- Least Common Multiple of 1677 and 1685 with GCF Formula
LCM of 1677 and 1685 is 2825745
Least common multiple can be found by multiplying the highest exponent prime factors of 1677 and 1685. First we will calculate the prime factors of 1677 and 1685.
Prime Factorization of 1677
| 3 | 1677 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 1677 are 3, 13,43. Prime factorization of 1677 in exponential form is:
1677 = 31×131×431
Prime Factorization of 1685
| 5 | 1685 |
| 337 | 337 |
| 1 |
Prime factors of 1685 are 5,337. Prime factorization of 1685 in exponential form is:
1685 = 51×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 1677 and 1685.
LCM(1677,1685) = 31×51×131×431×3371
LCM(1677,1685) = 2825745
Factors of 1677
List of positive integer factors of 1677 that divides 1677 without a remainder.
1, 3, 13, 39, 43, 129, 559, 1677
Factors of 1685
List of positive integer factors of 1685 that divides 1685 without a remainder.
1, 5, 337, 1685
Least Common Multiple of 1677 and 1685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1677 and 1685, than apply into the LCM equation.
GCF(1677,1685) = 1
LCM(1677,1685) = ( 1677 × 1685) / 1
LCM(1677,1685) = 2825745 / 1
LCM(1677,1685) = 2825745
Properties of LCM 1677 and 1685
(i) The LCM of 1685 and 1677 is associative
LCM of 1677 and 1685 = LCM of 1685 and 1677
Related Least Common Multiples of 1677
Related Least Common Multiples of 1685
Frequently Asked Questions on LCM of 1677 and 1685
1. What is the LCM of 1677 and 1685?
Answer: LCM of 1677 and 1685 is 2825745.
2. What are the Factors of 1677?
Answer: Factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677. There are 8 integers that are factors of 1677. The greatest factor of 1677 is 1677.
3. What are the Factors of 1685?
Answer: Factors of 1685 are 1, 5, 337, 1685. There are 4 integers that are factors of 1685. The greatest factor of 1685 is 1685.
4. How to Find the LCM of 1677 and 1685?
Answer:
Least Common Multiple of 1677 and 1685 = 2825745
Step 1: Find the prime factorization of 1677
1677 = 3 x 13 x 43
Step 2: Find the prime factorization of 1685
1685 = 5 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2825745 = 3 x 5 x 13 x 43 x 337
Step 4: Therefore, the least common multiple of 1677 and 1685 is 2825745.