Least Common Multiple of 689 and 697
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 689 and 697 the smallest integer that is 480233 that is divisible by both numbers.
Least Common Multiple (LCM) of 689 and 697 is 480233.
LCM(689,697) = 480233
LCM of 689 and 697
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 689 and 697 by Prime method
- Least Common Multiple of 689 and 697 with GCF Formula
LCM of 689 and 697 is 480233
Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 697. First we will calculate the prime factors of 689 and 697.
Prime Factorization of 689
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:
689 = 131×531
Prime Factorization of 697
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:
697 = 171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 697.
LCM(689,697) = 131×171×411×531
LCM(689,697) = 480233
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Least Common Multiple of 689 and 697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 697, than apply into the LCM equation.
GCF(689,697) = 1
LCM(689,697) = ( 689 × 697) / 1
LCM(689,697) = 480233 / 1
LCM(689,697) = 480233
Properties of LCM 689 and 697
(i) The LCM of 697 and 689 is associative
LCM of 689 and 697 = LCM of 697 and 689
Related Least Common Multiples of 689
Related Least Common Multiples of 697
Frequently Asked Questions on LCM of 689 and 697
1. What is the LCM of 689 and 697?
Answer: LCM of 689 and 697 is 480233.
2. What are the Factors of 689?
Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.
3. What are the Factors of 697?
Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.
4. How to Find the LCM of 689 and 697?
Answer:
Least Common Multiple of 689 and 697 = 480233
Step 1: Find the prime factorization of 689
689 = 13 x 53
Step 2: Find the prime factorization of 697
697 = 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 480233 = 13 x 17 x 41 x 53
Step 4: Therefore, the least common multiple of 689 and 697 is 480233.