Least Common Multiple of 2737 and 2745
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 2745 the smallest integer that is 7513065 that is divisible by both numbers.
Least Common Multiple (LCM) of 2737 and 2745 is 7513065.
LCM(2737,2745) = 7513065
LCM of 2737 and 2745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2737 and 2745 by Prime method
- Least Common Multiple of 2737 and 2745 with GCF Formula
LCM of 2737 and 2745 is 7513065
Least common multiple can be found by multiplying the highest exponent prime factors of 2737 and 2745. First we will calculate the prime factors of 2737 and 2745.
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 2745
| 3 | 2745 |
| 3 | 915 |
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 2745 are 3, 5,61. Prime factorization of 2745 in exponential form is:
2745 = 32×51×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2737 and 2745.
LCM(2737,2745) = 32×51×71×171×231×611
LCM(2737,2745) = 7513065
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 2745
List of positive integer factors of 2745 that divides 2745 without a remainder.
1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745
Least Common Multiple of 2737 and 2745 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 2745, than apply into the LCM equation.
GCF(2737,2745) = 1
LCM(2737,2745) = ( 2737 × 2745) / 1
LCM(2737,2745) = 7513065 / 1
LCM(2737,2745) = 7513065
Properties of LCM 2737 and 2745
(i) The LCM of 2745 and 2737 is associative
LCM of 2737 and 2745 = LCM of 2745 and 2737
Related Least Common Multiples of 2737
Related Least Common Multiples of 2745
Frequently Asked Questions on LCM of 2737 and 2745
1. What is the LCM of 2737 and 2745?
Answer: LCM of 2737 and 2745 is 7513065.
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 2745?
Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.
4. How to Find the LCM of 2737 and 2745?
Answer:
Least Common Multiple of 2737 and 2745 = 7513065
Step 1: Find the prime factorization of 2737
2737 = 7 x 17 x 23
Step 2: Find the prime factorization of 2745
2745 = 3 x 3 x 5 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 = 7513065 = 3 x 3 x 5 x 7 x 17 x 23 x 61
Step 4: Therefore, the least common multiple of 2737 and 2745 is 7513065.