Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8815 and 8822 the smallest integer that is 77765930 that is divisible by both numbers.
Least Common Multiple (LCM) of 8815 and 8822 is 77765930.
LCM(8815,8822) = 77765930
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 8815 and 8822. First we will calculate the prime factors of 8815 and 8822.
Prime Factorization of 8815
5 | 8815 |
41 | 1763 |
43 | 43 |
1 |
Prime factors of 8815 are 5, 41,43. Prime factorization of 8815 in exponential form is:
8815 = 51×411×431
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 8815 and 8822.
LCM(8815,8822) = 21×51×111×411×431×4011
LCM(8815,8822) = 77765930
Factors of 8815
List of positive integer factors of 8815 that divides 8815 without a remainder.
1, 5, 41, 43, 205, 215, 1763, 8815
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 8815 and 8822, than apply into the LCM equation.
GCF(8815,8822) = 1
LCM(8815,8822) = ( 8815 × 8822) / 1
LCM(8815,8822) = 77765930 / 1
LCM(8815,8822) = 77765930
(i) The LCM of 8822 and 8815 is associative
LCM of 8815 and 8822 = LCM of 8822 and 8815
1. What is the LCM of 8815 and 8822?
Answer: LCM of 8815 and 8822 is 77765930.
2. What are the Factors of 8815?
Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.
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 8815 and 8822?
Answer:
Least Common Multiple of 8815 and 8822 = 77765930
Step 1: Find the prime factorization of 8815
8815 = 5 x 41 x 43
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 = 77765930 = 2 x 5 x 11 x 41 x 43 x 401
Step 4: Therefore, the least common multiple of 8815 and 8822 is 77765930.