Least Common Multiple of 2821 and 2827
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2821 and 2827 the smallest integer that is 7974967 that is divisible by both numbers.
Least Common Multiple (LCM) of 2821 and 2827 is 7974967.
LCM(2821,2827) = 7974967
LCM of 2821 and 2827
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2821 and 2827 by Prime method
- Least Common Multiple of 2821 and 2827 with GCF Formula
LCM of 2821 and 2827 is 7974967
Least common multiple can be found by multiplying the highest exponent prime factors of 2821 and 2827. First we will calculate the prime factors of 2821 and 2827.
Prime Factorization of 2821
| 7 | 2821 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 2821 are 7, 13,31. Prime factorization of 2821 in exponential form is:
2821 = 71×131×311
Prime Factorization of 2827
| 11 | 2827 |
| 257 | 257 |
| 1 |
Prime factors of 2827 are 11,257. Prime factorization of 2827 in exponential form is:
2827 = 111×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 2821 and 2827.
LCM(2821,2827) = 71×111×131×311×2571
LCM(2821,2827) = 7974967
Factors of 2821
List of positive integer factors of 2821 that divides 2821 without a remainder.
1, 7, 13, 31, 91, 217, 403, 2821
Factors of 2827
List of positive integer factors of 2827 that divides 2827 without a remainder.
1, 11, 257, 2827
Least Common Multiple of 2821 and 2827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2821 and 2827, than apply into the LCM equation.
GCF(2821,2827) = 1
LCM(2821,2827) = ( 2821 × 2827) / 1
LCM(2821,2827) = 7974967 / 1
LCM(2821,2827) = 7974967
Properties of LCM 2821 and 2827
(i) The LCM of 2827 and 2821 is associative
LCM of 2821 and 2827 = LCM of 2827 and 2821
Related Least Common Multiples of 2821
Related Least Common Multiples of 2827
Frequently Asked Questions on LCM of 2821 and 2827
1. What is the LCM of 2821 and 2827?
Answer: LCM of 2821 and 2827 is 7974967.
2. What are the Factors of 2821?
Answer: Factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821. There are 8 integers that are factors of 2821. The greatest factor of 2821 is 2821.
3. What are the Factors of 2827?
Answer: Factors of 2827 are 1, 11, 257, 2827. There are 4 integers that are factors of 2827. The greatest factor of 2827 is 2827.
4. How to Find the LCM of 2821 and 2827?
Answer:
Least Common Multiple of 2821 and 2827 = 7974967
Step 1: Find the prime factorization of 2821
2821 = 7 x 13 x 31
Step 2: Find the prime factorization of 2827
2827 = 11 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7974967 = 7 x 11 x 13 x 31 x 257
Step 4: Therefore, the least common multiple of 2821 and 2827 is 7974967.