Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8817 and 8822 the smallest integer that is 77783574 that is divisible by both numbers.
Least Common Multiple (LCM) of 8817 and 8822 is 77783574.
LCM(8817,8822) = 77783574
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 8817 and 8822. First we will calculate the prime factors of 8817 and 8822.
Prime Factorization of 8817
3 | 8817 |
2939 | 2939 |
1 |
Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:
8817 = 31×29391
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 8817 and 8822.
LCM(8817,8822) = 21×31×111×4011×29391
LCM(8817,8822) = 77783574
Factors of 8817
List of positive integer factors of 8817 that divides 8817 without a remainder.
1, 3, 2939, 8817
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 8817 and 8822, than apply into the LCM equation.
GCF(8817,8822) = 1
LCM(8817,8822) = ( 8817 × 8822) / 1
LCM(8817,8822) = 77783574 / 1
LCM(8817,8822) = 77783574
(i) The LCM of 8822 and 8817 is associative
LCM of 8817 and 8822 = LCM of 8822 and 8817
1. What is the LCM of 8817 and 8822?
Answer: LCM of 8817 and 8822 is 77783574.
2. What are the Factors of 8817?
Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.
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 8817 and 8822?
Answer:
Least Common Multiple of 8817 and 8822 = 77783574
Step 1: Find the prime factorization of 8817
8817 = 3 x 2939
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 = 77783574 = 2 x 3 x 11 x 401 x 2939
Step 4: Therefore, the least common multiple of 8817 and 8822 is 77783574.