Least Common Multiple of 4834 and 4841
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4834 and 4841 the smallest integer that is 23401394 that is divisible by both numbers.
Least Common Multiple (LCM) of 4834 and 4841 is 23401394.
LCM(4834,4841) = 23401394
LCM of 4834 and 4841
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4834 and 4841 by Prime method
- Least Common Multiple of 4834 and 4841 with GCF Formula
LCM of 4834 and 4841 is 23401394
Least common multiple can be found by multiplying the highest exponent prime factors of 4834 and 4841. First we will calculate the prime factors of 4834 and 4841.
Prime Factorization of 4834
| 2 | 4834 |
| 2417 | 2417 |
| 1 |
Prime factors of 4834 are 2,2417. Prime factorization of 4834 in exponential form is:
4834 = 21×24171
Prime Factorization of 4841
| 47 | 4841 |
| 103 | 103 |
| 1 |
Prime factors of 4841 are 47,103. Prime factorization of 4841 in exponential form is:
4841 = 471×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 4834 and 4841.
LCM(4834,4841) = 21×471×1031×24171
LCM(4834,4841) = 23401394
Factors of 4834
List of positive integer factors of 4834 that divides 4834 without a remainder.
1, 2, 2417, 4834
Factors of 4841
List of positive integer factors of 4841 that divides 4841 without a remainder.
1, 47, 103, 4841
Least Common Multiple of 4834 and 4841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4834 and 4841, than apply into the LCM equation.
GCF(4834,4841) = 1
LCM(4834,4841) = ( 4834 × 4841) / 1
LCM(4834,4841) = 23401394 / 1
LCM(4834,4841) = 23401394
Properties of LCM 4834 and 4841
(i) The LCM of 4841 and 4834 is associative
LCM of 4834 and 4841 = LCM of 4841 and 4834
Related Least Common Multiples of 4834
Related Least Common Multiples of 4841
Frequently Asked Questions on LCM of 4834 and 4841
1. What is the LCM of 4834 and 4841?
Answer: LCM of 4834 and 4841 is 23401394.
2. What are the Factors of 4834?
Answer: Factors of 4834 are 1, 2, 2417, 4834. There are 4 integers that are factors of 4834. The greatest factor of 4834 is 4834.
3. What are the Factors of 4841?
Answer: Factors of 4841 are 1, 47, 103, 4841. There are 4 integers that are factors of 4841. The greatest factor of 4841 is 4841.
4. How to Find the LCM of 4834 and 4841?
Answer:
Least Common Multiple of 4834 and 4841 = 23401394
Step 1: Find the prime factorization of 4834
4834 = 2 x 2417
Step 2: Find the prime factorization of 4841
4841 = 47 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23401394 = 2 x 47 x 103 x 2417
Step 4: Therefore, the least common multiple of 4834 and 4841 is 23401394.