Least Common Multiple of 2771 and 2775
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2771 and 2775 the smallest integer that is 7689525 that is divisible by both numbers.
Least Common Multiple (LCM) of 2771 and 2775 is 7689525.
LCM(2771,2775) = 7689525
LCM of 2771 and 2775
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2771 and 2775 by Prime method
- Least Common Multiple of 2771 and 2775 with GCF Formula
LCM of 2771 and 2775 is 7689525
Least common multiple can be found by multiplying the highest exponent prime factors of 2771 and 2775. First we will calculate the prime factors of 2771 and 2775.
Prime Factorization of 2771
| 17 | 2771 |
| 163 | 163 |
| 1 |
Prime factors of 2771 are 17,163. Prime factorization of 2771 in exponential form is:
2771 = 171×1631
Prime Factorization of 2775
| 3 | 2775 |
| 5 | 925 |
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 2775 are 3, 5,37. Prime factorization of 2775 in exponential form is:
2775 = 31×52×371
Now multiplying the highest exponent prime factors to calculate the LCM of 2771 and 2775.
LCM(2771,2775) = 31×52×171×371×1631
LCM(2771,2775) = 7689525
Factors of 2771
List of positive integer factors of 2771 that divides 2771 without a remainder.
1, 17, 163, 2771
Factors of 2775
List of positive integer factors of 2775 that divides 2775 without a remainder.
1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
Least Common Multiple of 2771 and 2775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2771 and 2775, than apply into the LCM equation.
GCF(2771,2775) = 1
LCM(2771,2775) = ( 2771 × 2775) / 1
LCM(2771,2775) = 7689525 / 1
LCM(2771,2775) = 7689525
Properties of LCM 2771 and 2775
(i) The LCM of 2775 and 2771 is associative
LCM of 2771 and 2775 = LCM of 2775 and 2771
Related Least Common Multiples of 2771
Related Least Common Multiples of 2775
Frequently Asked Questions on LCM of 2771 and 2775
1. What is the LCM of 2771 and 2775?
Answer: LCM of 2771 and 2775 is 7689525.
2. What are the Factors of 2771?
Answer: Factors of 2771 are 1, 17, 163, 2771. There are 4 integers that are factors of 2771. The greatest factor of 2771 is 2771.
3. What are the Factors of 2775?
Answer: Factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775. There are 12 integers that are factors of 2775. The greatest factor of 2775 is 2775.
4. How to Find the LCM of 2771 and 2775?
Answer:
Least Common Multiple of 2771 and 2775 = 7689525
Step 1: Find the prime factorization of 2771
2771 = 17 x 163
Step 2: Find the prime factorization of 2775
2775 = 3 x 5 x 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7689525 = 3 x 5 x 5 x 17 x 37 x 163
Step 4: Therefore, the least common multiple of 2771 and 2775 is 7689525.