Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8818 and 8822 the smallest integer that is 38896198 that is divisible by both numbers.
Least Common Multiple (LCM) of 8818 and 8822 is 38896198.
LCM(8818,8822) = 38896198
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8818 and 8822. First we will calculate the prime factors of 8818 and 8822.
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
Prime Factorization of 8822
2 | 8822 |
11 | 4411 |
401 | 401 |
1 |
Prime factors of 8822 are 2, 11,401. Prime factorization of 8822 in exponential form is:
8822 = 21×111×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 8818 and 8822.
LCM(8818,8822) = 21×111×4011×44091
LCM(8818,8822) = 38896198
Factors of 8818
List of positive integer factors of 8818 that divides 8818 without a remainder.
1, 2, 4409, 8818
Factors of 8822
List of positive integer factors of 8822 that divides 8822 without a remainder.
1, 2, 11, 22, 401, 802, 4411, 8822
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8818 and 8822, than apply into the LCM equation.
GCF(8818,8822) = 2
LCM(8818,8822) = ( 8818 × 8822) / 2
LCM(8818,8822) = 77792396 / 2
LCM(8818,8822) = 38896198
(i) The LCM of 8822 and 8818 is associative
LCM of 8818 and 8822 = LCM of 8822 and 8818
1. What is the LCM of 8818 and 8822?
Answer: LCM of 8818 and 8822 is 38896198.
2. 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.
3. What are the Factors of 8822?
Answer: Factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822. There are 8 integers that are factors of 8822. The greatest factor of 8822 is 8822.
4. How to Find the LCM of 8818 and 8822?
Answer:
Least Common Multiple of 8818 and 8822 = 38896198
Step 1: Find the prime factorization of 8818
8818 = 2 x 4409
Step 2: Find the prime factorization of 8822
8822 = 2 x 11 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38896198 = 2 x 11 x 401 x 4409
Step 4: Therefore, the least common multiple of 8818 and 8822 is 38896198.