Least Common Multiple of 4805 and 4811
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4805 and 4811 the smallest integer that is 23116855 that is divisible by both numbers.
Least Common Multiple (LCM) of 4805 and 4811 is 23116855.
LCM(4805,4811) = 23116855
LCM of 4805 and 4811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4805 and 4811 by Prime method
- Least Common Multiple of 4805 and 4811 with GCF Formula
LCM of 4805 and 4811 is 23116855
Least common multiple can be found by multiplying the highest exponent prime factors of 4805 and 4811. First we will calculate the prime factors of 4805 and 4811.
Prime Factorization of 4805
| 5 | 4805 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 4805 are 5,31. Prime factorization of 4805 in exponential form is:
4805 = 51×312
Prime Factorization of 4811
| 17 | 4811 |
| 283 | 283 |
| 1 |
Prime factors of 4811 are 17,283. Prime factorization of 4811 in exponential form is:
4811 = 171×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 4805 and 4811.
LCM(4805,4811) = 51×171×312×2831
LCM(4805,4811) = 23116855
Factors of 4805
List of positive integer factors of 4805 that divides 4805 without a remainder.
1, 5, 31, 155, 961, 4805
Factors of 4811
List of positive integer factors of 4811 that divides 4811 without a remainder.
1, 17, 283, 4811
Least Common Multiple of 4805 and 4811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4805 and 4811, than apply into the LCM equation.
GCF(4805,4811) = 1
LCM(4805,4811) = ( 4805 × 4811) / 1
LCM(4805,4811) = 23116855 / 1
LCM(4805,4811) = 23116855
Properties of LCM 4805 and 4811
(i) The LCM of 4811 and 4805 is associative
LCM of 4805 and 4811 = LCM of 4811 and 4805
Related Least Common Multiples of 4805
Related Least Common Multiples of 4811
Frequently Asked Questions on LCM of 4805 and 4811
1. What is the LCM of 4805 and 4811?
Answer: LCM of 4805 and 4811 is 23116855.
2. What are the Factors of 4805?
Answer: Factors of 4805 are 1, 5, 31, 155, 961, 4805. There are 6 integers that are factors of 4805. The greatest factor of 4805 is 4805.
3. What are the Factors of 4811?
Answer: Factors of 4811 are 1, 17, 283, 4811. There are 4 integers that are factors of 4811. The greatest factor of 4811 is 4811.
4. How to Find the LCM of 4805 and 4811?
Answer:
Least Common Multiple of 4805 and 4811 = 23116855
Step 1: Find the prime factorization of 4805
4805 = 5 x 31 x 31
Step 2: Find the prime factorization of 4811
4811 = 17 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23116855 = 5 x 17 x 31 x 31 x 283
Step 4: Therefore, the least common multiple of 4805 and 4811 is 23116855.