Least Common Multiple of 8811 and 8818
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8811 and 8818 the smallest integer that is 77695398 that is divisible by both numbers.
Least Common Multiple (LCM) of 8811 and 8818 is 77695398.
LCM(8811,8818) = 77695398
LCM of 8811 and 8818
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8811 and 8818 by Prime method
- Least Common Multiple of 8811 and 8818 with GCF Formula
LCM of 8811 and 8818 is 77695398
Least common multiple can be found by multiplying the highest exponent prime factors of 8811 and 8818. First we will calculate the prime factors of 8811 and 8818.
Prime Factorization of 8811
| 3 | 8811 |
| 3 | 2937 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 8811 are 3, 11,89. Prime factorization of 8811 in exponential form is:
8811 = 32×111×891
Prime Factorization of 8818
| 2 | 8818 |
| 4409 | 4409 |
| 1 |
Prime factors of 8818 are 2,4409. Prime factorization of 8818 in exponential form is:
8818 = 21×44091
Now multiplying the highest exponent prime factors to calculate the LCM of 8811 and 8818.
LCM(8811,8818) = 21×32×111×891×44091
LCM(8811,8818) = 77695398
Factors of 8811
List of positive integer factors of 8811 that divides 8811 without a remainder.
1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811
Factors of 8818
List of positive integer factors of 8818 that divides 8818 without a remainder.
1, 2, 4409, 8818
Least Common Multiple of 8811 and 8818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8811 and 8818, than apply into the LCM equation.
GCF(8811,8818) = 1
LCM(8811,8818) = ( 8811 × 8818) / 1
LCM(8811,8818) = 77695398 / 1
LCM(8811,8818) = 77695398
Properties of LCM 8811 and 8818
(i) The LCM of 8818 and 8811 is associative
LCM of 8811 and 8818 = LCM of 8818 and 8811
Related Least Common Multiples of 8811
Related Least Common Multiples of 8818
Frequently Asked Questions on LCM of 8811 and 8818
1. What is the LCM of 8811 and 8818?
Answer: LCM of 8811 and 8818 is 77695398.
2. What are the Factors of 8811?
Answer: Factors of 8811 are 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811. There are 12 integers that are factors of 8811. The greatest factor of 8811 is 8811.
3. What are the Factors of 8818?
Answer: Factors of 8818 are 1, 2, 4409, 8818. There are 4 integers that are factors of 8818. The greatest factor of 8818 is 8818.
4. How to Find the LCM of 8811 and 8818?
Answer:
Least Common Multiple of 8811 and 8818 = 77695398
Step 1: Find the prime factorization of 8811
8811 = 3 x 3 x 11 x 89
Step 2: Find the prime factorization of 8818
8818 = 2 x 4409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77695398 = 2 x 3 x 3 x 11 x 89 x 4409
Step 4: Therefore, the least common multiple of 8811 and 8818 is 77695398.