Least Common Multiple of 4835 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 4835 and 4841 the smallest integer that is 23406235 that is divisible by both numbers.
Least Common Multiple (LCM) of 4835 and 4841 is 23406235.
LCM(4835,4841) = 23406235
LCM of 4835 and 4841
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4835 and 4841 by Prime method
- Least Common Multiple of 4835 and 4841 with GCF Formula
LCM of 4835 and 4841 is 23406235
Least common multiple can be found by multiplying the highest exponent prime factors of 4835 and 4841. First we will calculate the prime factors of 4835 and 4841.
Prime Factorization of 4835
| 5 | 4835 |
| 967 | 967 |
| 1 |
Prime factors of 4835 are 5,967. Prime factorization of 4835 in exponential form is:
4835 = 51×9671
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 4835 and 4841.
LCM(4835,4841) = 51×471×1031×9671
LCM(4835,4841) = 23406235
Factors of 4835
List of positive integer factors of 4835 that divides 4835 without a remainder.
1, 5, 967, 4835
Factors of 4841
List of positive integer factors of 4841 that divides 4841 without a remainder.
1, 47, 103, 4841
Least Common Multiple of 4835 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 4835 and 4841, than apply into the LCM equation.
GCF(4835,4841) = 1
LCM(4835,4841) = ( 4835 × 4841) / 1
LCM(4835,4841) = 23406235 / 1
LCM(4835,4841) = 23406235
Properties of LCM 4835 and 4841
(i) The LCM of 4841 and 4835 is associative
LCM of 4835 and 4841 = LCM of 4841 and 4835
Related Least Common Multiples of 4835
Related Least Common Multiples of 4841
Frequently Asked Questions on LCM of 4835 and 4841
1. What is the LCM of 4835 and 4841?
Answer: LCM of 4835 and 4841 is 23406235.
2. What are the Factors of 4835?
Answer: Factors of 4835 are 1, 5, 967, 4835. There are 4 integers that are factors of 4835. The greatest factor of 4835 is 4835.
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 4835 and 4841?
Answer:
Least Common Multiple of 4835 and 4841 = 23406235
Step 1: Find the prime factorization of 4835
4835 = 5 x 967
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 = 23406235 = 5 x 47 x 103 x 967
Step 4: Therefore, the least common multiple of 4835 and 4841 is 23406235.