Least Common Multiple of 2835 and 2842
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2835 and 2842 the smallest integer that is 1151010 that is divisible by both numbers.
Least Common Multiple (LCM) of 2835 and 2842 is 1151010.
LCM(2835,2842) = 1151010
LCM of 2835 and 2842
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2835 and 2842 by Prime method
- Least Common Multiple of 2835 and 2842 with GCF Formula
LCM of 2835 and 2842 is 1151010
Least common multiple can be found by multiplying the highest exponent prime factors of 2835 and 2842. First we will calculate the prime factors of 2835 and 2842.
Prime Factorization of 2835
| 3 | 2835 |
| 3 | 945 |
| 3 | 315 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 2835 are 3, 5,7. Prime factorization of 2835 in exponential form is:
2835 = 34×51×71
Prime Factorization of 2842
| 2 | 2842 |
| 7 | 1421 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 2842 are 2, 7,29. Prime factorization of 2842 in exponential form is:
2842 = 21×72×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2835 and 2842.
LCM(2835,2842) = 21×34×51×72×291
LCM(2835,2842) = 1151010
Factors of 2835
List of positive integer factors of 2835 that divides 2835 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835
Factors of 2842
List of positive integer factors of 2842 that divides 2842 without a remainder.
1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
Least Common Multiple of 2835 and 2842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2835 and 2842, than apply into the LCM equation.
GCF(2835,2842) = 7
LCM(2835,2842) = ( 2835 × 2842) / 7
LCM(2835,2842) = 8057070 / 7
LCM(2835,2842) = 1151010
Properties of LCM 2835 and 2842
(i) The LCM of 2842 and 2835 is associative
LCM of 2835 and 2842 = LCM of 2842 and 2835
Related Least Common Multiples of 2835
Related Least Common Multiples of 2842
Frequently Asked Questions on LCM of 2835 and 2842
1. What is the LCM of 2835 and 2842?
Answer: LCM of 2835 and 2842 is 1151010.
2. What are the Factors of 2835?
Answer: Factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835. There are 20 integers that are factors of 2835. The greatest factor of 2835 is 2835.
3. What are the Factors of 2842?
Answer: Factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842. There are 12 integers that are factors of 2842. The greatest factor of 2842 is 2842.
4. How to Find the LCM of 2835 and 2842?
Answer:
Least Common Multiple of 2835 and 2842 = 1151010
Step 1: Find the prime factorization of 2835
2835 = 3 x 3 x 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 2842
2842 = 2 x 7 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1151010 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 29
Step 4: Therefore, the least common multiple of 2835 and 2842 is 1151010.