Least Common Multiple of 12833 and 12839
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12833 and 12839 the smallest integer that is 164762887 that is divisible by both numbers.
Least Common Multiple (LCM) of 12833 and 12839 is 164762887.
LCM(12833,12839) = 164762887
LCM of 12833 and 12839
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12833 and 12839 by Prime method
- Least Common Multiple of 12833 and 12839 with GCF Formula
LCM of 12833 and 12839 is 164762887
Least common multiple can be found by multiplying the highest exponent prime factors of 12833 and 12839. First we will calculate the prime factors of 12833 and 12839.
Prime Factorization of 12833
| 41 | 12833 |
| 313 | 313 |
| 1 |
Prime factors of 12833 are 41,313. Prime factorization of 12833 in exponential form is:
12833 = 411×3131
Prime Factorization of 12839
| 37 | 12839 |
| 347 | 347 |
| 1 |
Prime factors of 12839 are 37,347. Prime factorization of 12839 in exponential form is:
12839 = 371×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 12833 and 12839.
LCM(12833,12839) = 371×411×3131×3471
LCM(12833,12839) = 164762887
Factors of 12833
List of positive integer factors of 12833 that divides 12833 without a remainder.
1, 41, 313, 12833
Factors of 12839
List of positive integer factors of 12839 that divides 12839 without a remainder.
1, 37, 347, 12839
Least Common Multiple of 12833 and 12839 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12833 and 12839, than apply into the LCM equation.
GCF(12833,12839) = 1
LCM(12833,12839) = ( 12833 × 12839) / 1
LCM(12833,12839) = 164762887 / 1
LCM(12833,12839) = 164762887
Properties of LCM 12833 and 12839
(i) The LCM of 12839 and 12833 is associative
LCM of 12833 and 12839 = LCM of 12839 and 12833
Related Least Common Multiples of 12833
Related Least Common Multiples of 12839
Frequently Asked Questions on LCM of 12833 and 12839
1. What is the LCM of 12833 and 12839?
Answer: LCM of 12833 and 12839 is 164762887.
2. What are the Factors of 12833?
Answer: Factors of 12833 are 1, 41, 313, 12833. There are 4 integers that are factors of 12833. The greatest factor of 12833 is 12833.
3. What are the Factors of 12839?
Answer: Factors of 12839 are 1, 37, 347, 12839. There are 4 integers that are factors of 12839. The greatest factor of 12839 is 12839.
4. How to Find the LCM of 12833 and 12839?
Answer:
Least Common Multiple of 12833 and 12839 = 164762887
Step 1: Find the prime factorization of 12833
12833 = 41 x 313
Step 2: Find the prime factorization of 12839
12839 = 37 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 164762887 = 37 x 41 x 313 x 347
Step 4: Therefore, the least common multiple of 12833 and 12839 is 164762887.