Least Common Multiple of 681 and 689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 681 and 689 the smallest integer that is 469209 that is divisible by both numbers.
Least Common Multiple (LCM) of 681 and 689 is 469209.
LCM(681,689) = 469209
LCM of 681 and 689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 681 and 689 by Prime method
- Least Common Multiple of 681 and 689 with GCF Formula
LCM of 681 and 689 is 469209
Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 689. First we will calculate the prime factors of 681 and 689.
Prime Factorization of 681
| 3 | 681 |
| 227 | 227 |
| 1 |
Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:
681 = 31×2271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 681 and 689.
LCM(681,689) = 31×131×531×2271
LCM(681,689) = 469209
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Least Common Multiple of 681 and 689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 681 and 689, than apply into the LCM equation.
GCF(681,689) = 1
LCM(681,689) = ( 681 × 689) / 1
LCM(681,689) = 469209 / 1
LCM(681,689) = 469209
Properties of LCM 681 and 689
(i) The LCM of 689 and 681 is associative
LCM of 681 and 689 = LCM of 689 and 681
Related Least Common Multiples of 681
Related Least Common Multiples of 689
Frequently Asked Questions on LCM of 681 and 689
1. What is the LCM of 681 and 689?
Answer: LCM of 681 and 689 is 469209.
2. What are the Factors of 681?
Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.
3. 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.
4. How to Find the LCM of 681 and 689?
Answer:
Least Common Multiple of 681 and 689 = 469209
Step 1: Find the prime factorization of 681
681 = 3 x 227
Step 2: Find the prime factorization of 689
689 = 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 469209 = 3 x 13 x 53 x 227
Step 4: Therefore, the least common multiple of 681 and 689 is 469209.
