Least Common Multiple of 2775 and 2782
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2775 and 2782 the smallest integer that is 7720050 that is divisible by both numbers.
Least Common Multiple (LCM) of 2775 and 2782 is 7720050.
LCM(2775,2782) = 7720050
LCM of 2775 and 2782
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2775 and 2782 by Prime method
- Least Common Multiple of 2775 and 2782 with GCF Formula
LCM of 2775 and 2782 is 7720050
Least common multiple can be found by multiplying the highest exponent prime factors of 2775 and 2782. First we will calculate the prime factors of 2775 and 2782.
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
Prime Factorization of 2782
| 2 | 2782 |
| 13 | 1391 |
| 107 | 107 |
| 1 |
Prime factors of 2782 are 2, 13,107. Prime factorization of 2782 in exponential form is:
2782 = 21×131×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 2775 and 2782.
LCM(2775,2782) = 21×31×52×131×371×1071
LCM(2775,2782) = 7720050
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
Factors of 2782
List of positive integer factors of 2782 that divides 2782 without a remainder.
1, 2, 13, 26, 107, 214, 1391, 2782
Least Common Multiple of 2775 and 2782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2775 and 2782, than apply into the LCM equation.
GCF(2775,2782) = 1
LCM(2775,2782) = ( 2775 × 2782) / 1
LCM(2775,2782) = 7720050 / 1
LCM(2775,2782) = 7720050
Properties of LCM 2775 and 2782
(i) The LCM of 2782 and 2775 is associative
LCM of 2775 and 2782 = LCM of 2782 and 2775
Related Least Common Multiples of 2775
Related Least Common Multiples of 2782
Frequently Asked Questions on LCM of 2775 and 2782
1. What is the LCM of 2775 and 2782?
Answer: LCM of 2775 and 2782 is 7720050.
2. 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.
3. What are the Factors of 2782?
Answer: Factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782. There are 8 integers that are factors of 2782. The greatest factor of 2782 is 2782.
4. How to Find the LCM of 2775 and 2782?
Answer:
Least Common Multiple of 2775 and 2782 = 7720050
Step 1: Find the prime factorization of 2775
2775 = 3 x 5 x 5 x 37
Step 2: Find the prime factorization of 2782
2782 = 2 x 13 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7720050 = 2 x 3 x 5 x 5 x 13 x 37 x 107
Step 4: Therefore, the least common multiple of 2775 and 2782 is 7720050.