Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2783 and 2791 the smallest integer that is 7767353 that is divisible by both numbers.
Least Common Multiple (LCM) of 2783 and 2791 is 7767353.
LCM(2783,2791) = 7767353
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2783 and 2791. First we will calculate the prime factors of 2783 and 2791.
Prime Factorization of 2783
11 | 2783 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 2783 are 11,23. Prime factorization of 2783 in exponential form is:
2783 = 112×231
Prime Factorization of 2791
2791 | 2791 |
1 |
Prime factors of 2791 are 2791. Prime factorization of 2791 in exponential form is:
2791 = 27911
Now multiplying the highest exponent prime factors to calculate the LCM of 2783 and 2791.
LCM(2783,2791) = 112×231×27911
LCM(2783,2791) = 7767353
Factors of 2783
List of positive integer factors of 2783 that divides 2783 without a remainder.
1, 11, 23, 121, 253, 2783
Factors of 2791
List of positive integer factors of 2791 that divides 2791 without a remainder.
1, 2791
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2783 and 2791, than apply into the LCM equation.
GCF(2783,2791) = 1
LCM(2783,2791) = ( 2783 × 2791) / 1
LCM(2783,2791) = 7767353 / 1
LCM(2783,2791) = 7767353
(i) The LCM of 2791 and 2783 is associative
LCM of 2783 and 2791 = LCM of 2791 and 2783
1. What is the LCM of 2783 and 2791?
Answer: LCM of 2783 and 2791 is 7767353.
2. What are the Factors of 2783?
Answer: Factors of 2783 are 1, 11, 23, 121, 253, 2783. There are 6 integers that are factors of 2783. The greatest factor of 2783 is 2783.
3. What are the Factors of 2791?
Answer: Factors of 2791 are 1, 2791. There are 2 integers that are factors of 2791. The greatest factor of 2791 is 2791.
4. How to Find the LCM of 2783 and 2791?
Answer:
Least Common Multiple of 2783 and 2791 = 7767353
Step 1: Find the prime factorization of 2783
2783 = 11 x 11 x 23
Step 2: Find the prime factorization of 2791
2791 = 2791
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7767353 = 11 x 11 x 23 x 2791
Step 4: Therefore, the least common multiple of 2783 and 2791 is 7767353.