Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2787 and 2791 the smallest integer that is 7778517 that is divisible by both numbers.
Least Common Multiple (LCM) of 2787 and 2791 is 7778517.
LCM(2787,2791) = 7778517
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 2787 and 2791. First we will calculate the prime factors of 2787 and 2791.
Prime Factorization of 2787
3 | 2787 |
929 | 929 |
1 |
Prime factors of 2787 are 3,929. Prime factorization of 2787 in exponential form is:
2787 = 31×9291
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 2787 and 2791.
LCM(2787,2791) = 31×9291×27911
LCM(2787,2791) = 7778517
Factors of 2787
List of positive integer factors of 2787 that divides 2787 without a remainder.
1, 3, 929, 2787
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 2787 and 2791, than apply into the LCM equation.
GCF(2787,2791) = 1
LCM(2787,2791) = ( 2787 × 2791) / 1
LCM(2787,2791) = 7778517 / 1
LCM(2787,2791) = 7778517
(i) The LCM of 2791 and 2787 is associative
LCM of 2787 and 2791 = LCM of 2791 and 2787
1. What is the LCM of 2787 and 2791?
Answer: LCM of 2787 and 2791 is 7778517.
2. What are the Factors of 2787?
Answer: Factors of 2787 are 1, 3, 929, 2787. There are 4 integers that are factors of 2787. The greatest factor of 2787 is 2787.
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 2787 and 2791?
Answer:
Least Common Multiple of 2787 and 2791 = 7778517
Step 1: Find the prime factorization of 2787
2787 = 3 x 929
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 = 7778517 = 3 x 929 x 2791
Step 4: Therefore, the least common multiple of 2787 and 2791 is 7778517.