Least Common Multiple of 1679 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 1679 and 1687 the smallest integer that is 2832473 that is divisible by both numbers.
Least Common Multiple (LCM) of 1679 and 1687 is 2832473.
LCM(1679,1687) = 2832473
LCM of 1679 and 1687
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1679 and 1687 by Prime method
- Least Common Multiple of 1679 and 1687 with GCF Formula
LCM of 1679 and 1687 is 2832473
Least common multiple can be found by multiplying the highest exponent prime factors of 1679 and 1687. First we will calculate the prime factors of 1679 and 1687.
Prime Factorization of 1679
| 23 | 1679 |
| 73 | 73 |
| 1 |
Prime factors of 1679 are 23,73. Prime factorization of 1679 in exponential form is:
1679 = 231×731
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 1679 and 1687.
LCM(1679,1687) = 71×231×731×2411
LCM(1679,1687) = 2832473
Factors of 1679
List of positive integer factors of 1679 that divides 1679 without a remainder.
1, 23, 73, 1679
Factors of 1687
List of positive integer factors of 1687 that divides 1687 without a remainder.
1, 7, 241, 1687
Least Common Multiple of 1679 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 1679 and 1687, than apply into the LCM equation.
GCF(1679,1687) = 1
LCM(1679,1687) = ( 1679 × 1687) / 1
LCM(1679,1687) = 2832473 / 1
LCM(1679,1687) = 2832473
Properties of LCM 1679 and 1687
(i) The LCM of 1687 and 1679 is associative
LCM of 1679 and 1687 = LCM of 1687 and 1679
Related Least Common Multiples of 1679
Related Least Common Multiples of 1687
Frequently Asked Questions on LCM of 1679 and 1687
1. What is the LCM of 1679 and 1687?
Answer: LCM of 1679 and 1687 is 2832473.
2. What are the Factors of 1679?
Answer: Factors of 1679 are 1, 23, 73, 1679. There are 4 integers that are factors of 1679. The greatest factor of 1679 is 1679.
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 1679 and 1687?
Answer:
Least Common Multiple of 1679 and 1687 = 2832473
Step 1: Find the prime factorization of 1679
1679 = 23 x 73
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 = 2832473 = 7 x 23 x 73 x 241
Step 4: Therefore, the least common multiple of 1679 and 1687 is 2832473.