Least Common Multiple of 2678 and 2683
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2678 and 2683 the smallest integer that is 7185074 that is divisible by both numbers.
Least Common Multiple (LCM) of 2678 and 2683 is 7185074.
LCM(2678,2683) = 7185074
LCM of 2678 and 2683
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2678 and 2683 by Prime method
- Least Common Multiple of 2678 and 2683 with GCF Formula
LCM of 2678 and 2683 is 7185074
Least common multiple can be found by multiplying the highest exponent prime factors of 2678 and 2683. First we will calculate the prime factors of 2678 and 2683.
Prime Factorization of 2678
| 2 | 2678 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 2678 are 2, 13,103. Prime factorization of 2678 in exponential form is:
2678 = 21×131×1031
Prime Factorization of 2683
| 2683 | 2683 |
| 1 |
Prime factors of 2683 are 2683. Prime factorization of 2683 in exponential form is:
2683 = 26831
Now multiplying the highest exponent prime factors to calculate the LCM of 2678 and 2683.
LCM(2678,2683) = 21×131×1031×26831
LCM(2678,2683) = 7185074
Factors of 2678
List of positive integer factors of 2678 that divides 2678 without a remainder.
1, 2, 13, 26, 103, 206, 1339, 2678
Factors of 2683
List of positive integer factors of 2683 that divides 2683 without a remainder.
1, 2683
Least Common Multiple of 2678 and 2683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2678 and 2683, than apply into the LCM equation.
GCF(2678,2683) = 1
LCM(2678,2683) = ( 2678 × 2683) / 1
LCM(2678,2683) = 7185074 / 1
LCM(2678,2683) = 7185074
Properties of LCM 2678 and 2683
(i) The LCM of 2683 and 2678 is associative
LCM of 2678 and 2683 = LCM of 2683 and 2678
Related Least Common Multiples of 2678
Related Least Common Multiples of 2683
Frequently Asked Questions on LCM of 2678 and 2683
1. What is the LCM of 2678 and 2683?
Answer: LCM of 2678 and 2683 is 7185074.
2. What are the Factors of 2678?
Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.
3. What are the Factors of 2683?
Answer: Factors of 2683 are 1, 2683. There are 2 integers that are factors of 2683. The greatest factor of 2683 is 2683.
4. How to Find the LCM of 2678 and 2683?
Answer:
Least Common Multiple of 2678 and 2683 = 7185074
Step 1: Find the prime factorization of 2678
2678 = 2 x 13 x 103
Step 2: Find the prime factorization of 2683
2683 = 2683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7185074 = 2 x 13 x 103 x 2683
Step 4: Therefore, the least common multiple of 2678 and 2683 is 7185074.