Least Common Multiple of 675 and 683
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 675 and 683 the smallest integer that is 461025 that is divisible by both numbers.
Least Common Multiple (LCM) of 675 and 683 is 461025.
LCM(675,683) = 461025
LCM of 675 and 683
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 675 and 683 by Prime method
- Least Common Multiple of 675 and 683 with GCF Formula
LCM of 675 and 683 is 461025
Least common multiple can be found by multiplying the highest exponent prime factors of 675 and 683. First we will calculate the prime factors of 675 and 683.
Prime Factorization of 675
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:
675 = 33×52
Prime Factorization of 683
| 683 | 683 |
| 1 |
Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:
683 = 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 675 and 683.
LCM(675,683) = 33×52×6831
LCM(675,683) = 461025
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1, 683
Least Common Multiple of 675 and 683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 675 and 683, than apply into the LCM equation.
GCF(675,683) = 1
LCM(675,683) = ( 675 × 683) / 1
LCM(675,683) = 461025 / 1
LCM(675,683) = 461025
Properties of LCM 675 and 683
(i) The LCM of 683 and 675 is associative
LCM of 675 and 683 = LCM of 683 and 675
Related Least Common Multiples of 675
Related Least Common Multiples of 683
Frequently Asked Questions on LCM of 675 and 683
1. What is the LCM of 675 and 683?
Answer: LCM of 675 and 683 is 461025.
2. What are the Factors of 675?
Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.
3. What are the Factors of 683?
Answer: Factors of 683 are 1, 683. There are 2 integers that are factors of 683. The greatest factor of 683 is 683.
4. How to Find the LCM of 675 and 683?
Answer:
Least Common Multiple of 675 and 683 = 461025
Step 1: Find the prime factorization of 675
675 = 3 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 683
683 = 683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 461025 = 3 x 3 x 3 x 5 x 5 x 683
Step 4: Therefore, the least common multiple of 675 and 683 is 461025.