Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2681 and 2684 the smallest integer that is 7195804 that is divisible by both numbers.
Least Common Multiple (LCM) of 2681 and 2684 is 7195804.
LCM(2681,2684) = 7195804
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 2681 and 2684. First we will calculate the prime factors of 2681 and 2684.
Prime Factorization of 2681
7 | 2681 |
383 | 383 |
1 |
Prime factors of 2681 are 7,383. Prime factorization of 2681 in exponential form is:
2681 = 71×3831
Prime Factorization of 2684
2 | 2684 |
2 | 1342 |
11 | 671 |
61 | 61 |
1 |
Prime factors of 2684 are 2, 11,61. Prime factorization of 2684 in exponential form is:
2684 = 22×111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2681 and 2684.
LCM(2681,2684) = 22×71×111×611×3831
LCM(2681,2684) = 7195804
Factors of 2681
List of positive integer factors of 2681 that divides 2681 without a remainder.
1, 7, 383, 2681
Factors of 2684
List of positive integer factors of 2684 that divides 2684 without a remainder.
1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2681 and 2684, than apply into the LCM equation.
GCF(2681,2684) = 1
LCM(2681,2684) = ( 2681 × 2684) / 1
LCM(2681,2684) = 7195804 / 1
LCM(2681,2684) = 7195804
(i) The LCM of 2684 and 2681 is associative
LCM of 2681 and 2684 = LCM of 2684 and 2681
1. What is the LCM of 2681 and 2684?
Answer: LCM of 2681 and 2684 is 7195804.
2. What are the Factors of 2681?
Answer: Factors of 2681 are 1, 7, 383, 2681. There are 4 integers that are factors of 2681. The greatest factor of 2681 is 2681.
3. What are the Factors of 2684?
Answer: Factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684. There are 12 integers that are factors of 2684. The greatest factor of 2684 is 2684.
4. How to Find the LCM of 2681 and 2684?
Answer:
Least Common Multiple of 2681 and 2684 = 7195804
Step 1: Find the prime factorization of 2681
2681 = 7 x 383
Step 2: Find the prime factorization of 2684
2684 = 2 x 2 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7195804 = 2 x 2 x 7 x 11 x 61 x 383
Step 4: Therefore, the least common multiple of 2681 and 2684 is 7195804.