Least Common Multiple of 2839 and 2847
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2839 and 2847 the smallest integer that is 8082633 that is divisible by both numbers.
Least Common Multiple (LCM) of 2839 and 2847 is 8082633.
LCM(2839,2847) = 8082633
LCM of 2839 and 2847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2839 and 2847 by Prime method
- Least Common Multiple of 2839 and 2847 with GCF Formula
LCM of 2839 and 2847 is 8082633
Least common multiple can be found by multiplying the highest exponent prime factors of 2839 and 2847. First we will calculate the prime factors of 2839 and 2847.
Prime Factorization of 2839
| 17 | 2839 |
| 167 | 167 |
| 1 |
Prime factors of 2839 are 17,167. Prime factorization of 2839 in exponential form is:
2839 = 171×1671
Prime Factorization of 2847
| 3 | 2847 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 2847 are 3, 13,73. Prime factorization of 2847 in exponential form is:
2847 = 31×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 2839 and 2847.
LCM(2839,2847) = 31×131×171×731×1671
LCM(2839,2847) = 8082633
Factors of 2839
List of positive integer factors of 2839 that divides 2839 without a remainder.
1, 17, 167, 2839
Factors of 2847
List of positive integer factors of 2847 that divides 2847 without a remainder.
1, 3, 13, 39, 73, 219, 949, 2847
Least Common Multiple of 2839 and 2847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2839 and 2847, than apply into the LCM equation.
GCF(2839,2847) = 1
LCM(2839,2847) = ( 2839 × 2847) / 1
LCM(2839,2847) = 8082633 / 1
LCM(2839,2847) = 8082633
Properties of LCM 2839 and 2847
(i) The LCM of 2847 and 2839 is associative
LCM of 2839 and 2847 = LCM of 2847 and 2839
Related Least Common Multiples of 2839
Related Least Common Multiples of 2847
Frequently Asked Questions on LCM of 2839 and 2847
1. What is the LCM of 2839 and 2847?
Answer: LCM of 2839 and 2847 is 8082633.
2. What are the Factors of 2839?
Answer: Factors of 2839 are 1, 17, 167, 2839. There are 4 integers that are factors of 2839. The greatest factor of 2839 is 2839.
3. What are the Factors of 2847?
Answer: Factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847. There are 8 integers that are factors of 2847. The greatest factor of 2847 is 2847.
4. How to Find the LCM of 2839 and 2847?
Answer:
Least Common Multiple of 2839 and 2847 = 8082633
Step 1: Find the prime factorization of 2839
2839 = 17 x 167
Step 2: Find the prime factorization of 2847
2847 = 3 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8082633 = 3 x 13 x 17 x 73 x 167
Step 4: Therefore, the least common multiple of 2839 and 2847 is 8082633.