Least Common Multiple of 2783 and 2787
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 2787 the smallest integer that is 7756221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2783 and 2787 is 7756221.
LCM(2783,2787) = 7756221
LCM of 2783 and 2787
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2783 and 2787 by Prime method
- Least Common Multiple of 2783 and 2787 with GCF Formula
LCM of 2783 and 2787 is 7756221
Least common multiple can be found by multiplying the highest exponent prime factors of 2783 and 2787. First we will calculate the prime factors of 2783 and 2787.
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 2787
| 3 | 2787 |
| 929 | 929 |
| 1 |
Prime factors of 2787 are 3,929. Prime factorization of 2787 in exponential form is:
2787 = 31×9291
Now multiplying the highest exponent prime factors to calculate the LCM of 2783 and 2787.
LCM(2783,2787) = 31×112×231×9291
LCM(2783,2787) = 7756221
Factors of 2783
List of positive integer factors of 2783 that divides 2783 without a remainder.
1, 11, 23, 121, 253, 2783
Factors of 2787
List of positive integer factors of 2787 that divides 2787 without a remainder.
1, 3, 929, 2787
Least Common Multiple of 2783 and 2787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2783 and 2787, than apply into the LCM equation.
GCF(2783,2787) = 1
LCM(2783,2787) = ( 2783 × 2787) / 1
LCM(2783,2787) = 7756221 / 1
LCM(2783,2787) = 7756221
Properties of LCM 2783 and 2787
(i) The LCM of 2787 and 2783 is associative
LCM of 2783 and 2787 = LCM of 2787 and 2783
Related Least Common Multiples of 2783
Related Least Common Multiples of 2787
Frequently Asked Questions on LCM of 2783 and 2787
1. What is the LCM of 2783 and 2787?
Answer: LCM of 2783 and 2787 is 7756221.
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 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.
4. How to Find the LCM of 2783 and 2787?
Answer:
Least Common Multiple of 2783 and 2787 = 7756221
Step 1: Find the prime factorization of 2783
2783 = 11 x 11 x 23
Step 2: Find the prime factorization of 2787
2787 = 3 x 929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7756221 = 3 x 11 x 11 x 23 x 929
Step 4: Therefore, the least common multiple of 2783 and 2787 is 7756221.