Least Common Multiple of 4811 and 4818
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4811 and 4818 the smallest integer that is 23179398 that is divisible by both numbers.
Least Common Multiple (LCM) of 4811 and 4818 is 23179398.
LCM(4811,4818) = 23179398
LCM of 4811 and 4818
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4811 and 4818 by Prime method
- Least Common Multiple of 4811 and 4818 with GCF Formula
LCM of 4811 and 4818 is 23179398
Least common multiple can be found by multiplying the highest exponent prime factors of 4811 and 4818. First we will calculate the prime factors of 4811 and 4818.
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
Prime Factorization of 4818
| 2 | 4818 |
| 3 | 2409 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 4818 are 2, 3, 11,73. Prime factorization of 4818 in exponential form is:
4818 = 21×31×111×731
Now multiplying the highest exponent prime factors to calculate the LCM of 4811 and 4818.
LCM(4811,4818) = 21×31×111×171×731×2831
LCM(4811,4818) = 23179398
Factors of 4811
List of positive integer factors of 4811 that divides 4811 without a remainder.
1, 17, 283, 4811
Factors of 4818
List of positive integer factors of 4818 that divides 4818 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818
Least Common Multiple of 4811 and 4818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4811 and 4818, than apply into the LCM equation.
GCF(4811,4818) = 1
LCM(4811,4818) = ( 4811 × 4818) / 1
LCM(4811,4818) = 23179398 / 1
LCM(4811,4818) = 23179398
Properties of LCM 4811 and 4818
(i) The LCM of 4818 and 4811 is associative
LCM of 4811 and 4818 = LCM of 4818 and 4811
Related Least Common Multiples of 4811
Related Least Common Multiples of 4818
Frequently Asked Questions on LCM of 4811 and 4818
1. What is the LCM of 4811 and 4818?
Answer: LCM of 4811 and 4818 is 23179398.
2. 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.
3. What are the Factors of 4818?
Answer: Factors of 4818 are 1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818. There are 16 integers that are factors of 4818. The greatest factor of 4818 is 4818.
4. How to Find the LCM of 4811 and 4818?
Answer:
Least Common Multiple of 4811 and 4818 = 23179398
Step 1: Find the prime factorization of 4811
4811 = 17 x 283
Step 2: Find the prime factorization of 4818
4818 = 2 x 3 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23179398 = 2 x 3 x 11 x 17 x 73 x 283
Step 4: Therefore, the least common multiple of 4811 and 4818 is 23179398.