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 683 the smallest integer that is 465123 that is divisible by both numbers.
Least Common Multiple (LCM) of 681 and 683 is 465123.
LCM(681,683) = 465123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 683. First we will calculate the prime factors of 681 and 683.
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 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 681 and 683.
LCM(681,683) = 31×2271×6831
LCM(681,683) = 465123
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1, 683
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 681 and 683, than apply into the LCM equation.
GCF(681,683) = 1
LCM(681,683) = ( 681 × 683) / 1
LCM(681,683) = 465123 / 1
LCM(681,683) = 465123
(i) The LCM of 683 and 681 is associative
LCM of 681 and 683 = LCM of 683 and 681
1. What is the LCM of 681 and 683?
Answer: LCM of 681 and 683 is 465123.
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 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 681 and 683?
Answer:
Least Common Multiple of 681 and 683 = 465123
Step 1: Find the prime factorization of 681
681 = 3 x 227
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 = 465123 = 3 x 227 x 683
Step 4: Therefore, the least common multiple of 681 and 683 is 465123.