Least Common Multiple of 1673 and 1679
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1673 and 1679 the smallest integer that is 2808967 that is divisible by both numbers.
Least Common Multiple (LCM) of 1673 and 1679 is 2808967.
LCM(1673,1679) = 2808967
LCM of 1673 and 1679
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1673 and 1679 by Prime method
- Least Common Multiple of 1673 and 1679 with GCF Formula
LCM of 1673 and 1679 is 2808967
Least common multiple can be found by multiplying the highest exponent prime factors of 1673 and 1679. First we will calculate the prime factors of 1673 and 1679.
Prime Factorization of 1673
| 7 | 1673 |
| 239 | 239 |
| 1 |
Prime factors of 1673 are 7,239. Prime factorization of 1673 in exponential form is:
1673 = 71×2391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1673 and 1679.
LCM(1673,1679) = 71×231×731×2391
LCM(1673,1679) = 2808967
Factors of 1673
List of positive integer factors of 1673 that divides 1673 without a remainder.
1, 7, 239, 1673
Factors of 1679
List of positive integer factors of 1679 that divides 1679 without a remainder.
1, 23, 73, 1679
Least Common Multiple of 1673 and 1679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1673 and 1679, than apply into the LCM equation.
GCF(1673,1679) = 1
LCM(1673,1679) = ( 1673 × 1679) / 1
LCM(1673,1679) = 2808967 / 1
LCM(1673,1679) = 2808967
Properties of LCM 1673 and 1679
(i) The LCM of 1679 and 1673 is associative
LCM of 1673 and 1679 = LCM of 1679 and 1673
Related Least Common Multiples of 1673
Related Least Common Multiples of 1679
Frequently Asked Questions on LCM of 1673 and 1679
1. What is the LCM of 1673 and 1679?
Answer: LCM of 1673 and 1679 is 2808967.
2. What are the Factors of 1673?
Answer: Factors of 1673 are 1, 7, 239, 1673. There are 4 integers that are factors of 1673. The greatest factor of 1673 is 1673.
3. 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.
4. How to Find the LCM of 1673 and 1679?
Answer:
Least Common Multiple of 1673 and 1679 = 2808967
Step 1: Find the prime factorization of 1673
1673 = 7 x 239
Step 2: Find the prime factorization of 1679
1679 = 23 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2808967 = 7 x 23 x 73 x 239
Step 4: Therefore, the least common multiple of 1673 and 1679 is 2808967.