Least Common Multiple of 2737 and 2742
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2737 and 2742 the smallest integer that is 7504854 that is divisible by both numbers.
Least Common Multiple (LCM) of 2737 and 2742 is 7504854.
LCM(2737,2742) = 7504854
LCM of 2737 and 2742
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2737 and 2742 by Prime method
- Least Common Multiple of 2737 and 2742 with GCF Formula
LCM of 2737 and 2742 is 7504854
Least common multiple can be found by multiplying the highest exponent prime factors of 2737 and 2742. First we will calculate the prime factors of 2737 and 2742.
Prime Factorization of 2737
| 7 | 2737 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 2737 are 7, 17,23. Prime factorization of 2737 in exponential form is:
2737 = 71×171×231
Prime Factorization of 2742
| 2 | 2742 |
| 3 | 1371 |
| 457 | 457 |
| 1 |
Prime factors of 2742 are 2, 3,457. Prime factorization of 2742 in exponential form is:
2742 = 21×31×4571
Now multiplying the highest exponent prime factors to calculate the LCM of 2737 and 2742.
LCM(2737,2742) = 21×31×71×171×231×4571
LCM(2737,2742) = 7504854
Factors of 2737
List of positive integer factors of 2737 that divides 2737 without a remainder.
1, 7, 17, 23, 119, 161, 391, 2737
Factors of 2742
List of positive integer factors of 2742 that divides 2742 without a remainder.
1, 2, 3, 6, 457, 914, 1371, 2742
Least Common Multiple of 2737 and 2742 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2737 and 2742, than apply into the LCM equation.
GCF(2737,2742) = 1
LCM(2737,2742) = ( 2737 × 2742) / 1
LCM(2737,2742) = 7504854 / 1
LCM(2737,2742) = 7504854
Properties of LCM 2737 and 2742
(i) The LCM of 2742 and 2737 is associative
LCM of 2737 and 2742 = LCM of 2742 and 2737
Related Least Common Multiples of 2737
Related Least Common Multiples of 2742
Frequently Asked Questions on LCM of 2737 and 2742
1. What is the LCM of 2737 and 2742?
Answer: LCM of 2737 and 2742 is 7504854.
2. What are the Factors of 2737?
Answer: Factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737. There are 8 integers that are factors of 2737. The greatest factor of 2737 is 2737.
3. What are the Factors of 2742?
Answer: Factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742. There are 8 integers that are factors of 2742. The greatest factor of 2742 is 2742.
4. How to Find the LCM of 2737 and 2742?
Answer:
Least Common Multiple of 2737 and 2742 = 7504854
Step 1: Find the prime factorization of 2737
2737 = 7 x 17 x 23
Step 2: Find the prime factorization of 2742
2742 = 2 x 3 x 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7504854 = 2 x 3 x 7 x 17 x 23 x 457
Step 4: Therefore, the least common multiple of 2737 and 2742 is 7504854.