Least Common Multiple of 2738 and 2743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2738 and 2743 the smallest integer that is 7510334 that is divisible by both numbers.
Least Common Multiple (LCM) of 2738 and 2743 is 7510334.
LCM(2738,2743) = 7510334
LCM of 2738 and 2743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2738 and 2743 by Prime method
- Least Common Multiple of 2738 and 2743 with GCF Formula
LCM of 2738 and 2743 is 7510334
Least common multiple can be found by multiplying the highest exponent prime factors of 2738 and 2743. First we will calculate the prime factors of 2738 and 2743.
Prime Factorization of 2738
| 2 | 2738 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 2738 are 2,37. Prime factorization of 2738 in exponential form is:
2738 = 21×372
Prime Factorization of 2743
| 13 | 2743 |
| 211 | 211 |
| 1 |
Prime factors of 2743 are 13,211. Prime factorization of 2743 in exponential form is:
2743 = 131×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 2738 and 2743.
LCM(2738,2743) = 21×131×372×2111
LCM(2738,2743) = 7510334
Factors of 2738
List of positive integer factors of 2738 that divides 2738 without a remainder.
1, 2, 37, 74, 1369, 2738
Factors of 2743
List of positive integer factors of 2743 that divides 2743 without a remainder.
1, 13, 211, 2743
Least Common Multiple of 2738 and 2743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2738 and 2743, than apply into the LCM equation.
GCF(2738,2743) = 1
LCM(2738,2743) = ( 2738 × 2743) / 1
LCM(2738,2743) = 7510334 / 1
LCM(2738,2743) = 7510334
Properties of LCM 2738 and 2743
(i) The LCM of 2743 and 2738 is associative
LCM of 2738 and 2743 = LCM of 2743 and 2738
Related Least Common Multiples of 2738
Related Least Common Multiples of 2743
Frequently Asked Questions on LCM of 2738 and 2743
1. What is the LCM of 2738 and 2743?
Answer: LCM of 2738 and 2743 is 7510334.
2. What are the Factors of 2738?
Answer: Factors of 2738 are 1, 2, 37, 74, 1369, 2738. There are 6 integers that are factors of 2738. The greatest factor of 2738 is 2738.
3. What are the Factors of 2743?
Answer: Factors of 2743 are 1, 13, 211, 2743. There are 4 integers that are factors of 2743. The greatest factor of 2743 is 2743.
4. How to Find the LCM of 2738 and 2743?
Answer:
Least Common Multiple of 2738 and 2743 = 7510334
Step 1: Find the prime factorization of 2738
2738 = 2 x 37 x 37
Step 2: Find the prime factorization of 2743
2743 = 13 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7510334 = 2 x 13 x 37 x 37 x 211
Step 4: Therefore, the least common multiple of 2738 and 2743 is 7510334.