Least Common Multiple of 2750 and 2757
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2750 and 2757 the smallest integer that is 7581750 that is divisible by both numbers.
Least Common Multiple (LCM) of 2750 and 2757 is 7581750.
LCM(2750,2757) = 7581750
LCM of 2750 and 2757
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2750 and 2757 by Prime method
- Least Common Multiple of 2750 and 2757 with GCF Formula
LCM of 2750 and 2757 is 7581750
Least common multiple can be found by multiplying the highest exponent prime factors of 2750 and 2757. First we will calculate the prime factors of 2750 and 2757.
Prime Factorization of 2750
| 2 | 2750 |
| 5 | 1375 |
| 5 | 275 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 2750 are 2, 5,11. Prime factorization of 2750 in exponential form is:
2750 = 21×53×111
Prime Factorization of 2757
| 3 | 2757 |
| 919 | 919 |
| 1 |
Prime factors of 2757 are 3,919. Prime factorization of 2757 in exponential form is:
2757 = 31×9191
Now multiplying the highest exponent prime factors to calculate the LCM of 2750 and 2757.
LCM(2750,2757) = 21×31×53×111×9191
LCM(2750,2757) = 7581750
Factors of 2750
List of positive integer factors of 2750 that divides 2750 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750
Factors of 2757
List of positive integer factors of 2757 that divides 2757 without a remainder.
1, 3, 919, 2757
Least Common Multiple of 2750 and 2757 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2750 and 2757, than apply into the LCM equation.
GCF(2750,2757) = 1
LCM(2750,2757) = ( 2750 × 2757) / 1
LCM(2750,2757) = 7581750 / 1
LCM(2750,2757) = 7581750
Properties of LCM 2750 and 2757
(i) The LCM of 2757 and 2750 is associative
LCM of 2750 and 2757 = LCM of 2757 and 2750
Related Least Common Multiples of 2750
Related Least Common Multiples of 2757
Frequently Asked Questions on LCM of 2750 and 2757
1. What is the LCM of 2750 and 2757?
Answer: LCM of 2750 and 2757 is 7581750.
2. What are the Factors of 2750?
Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.
3. What are the Factors of 2757?
Answer: Factors of 2757 are 1, 3, 919, 2757. There are 4 integers that are factors of 2757. The greatest factor of 2757 is 2757.
4. How to Find the LCM of 2750 and 2757?
Answer:
Least Common Multiple of 2750 and 2757 = 7581750
Step 1: Find the prime factorization of 2750
2750 = 2 x 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 2757
2757 = 3 x 919
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7581750 = 2 x 3 x 5 x 5 x 5 x 11 x 919
Step 4: Therefore, the least common multiple of 2750 and 2757 is 7581750.