Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8810 and 8816 the smallest integer that is 38834480 that is divisible by both numbers.
Least Common Multiple (LCM) of 8810 and 8816 is 38834480.
LCM(8810,8816) = 38834480
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 8810 and 8816. First we will calculate the prime factors of 8810 and 8816.
Prime Factorization of 8810
2 | 8810 |
5 | 4405 |
881 | 881 |
1 |
Prime factors of 8810 are 2, 5,881. Prime factorization of 8810 in exponential form is:
8810 = 21×51×8811
Prime Factorization of 8816
2 | 8816 |
2 | 4408 |
2 | 2204 |
2 | 1102 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 8816 are 2, 19,29. Prime factorization of 8816 in exponential form is:
8816 = 24×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 8810 and 8816.
LCM(8810,8816) = 24×51×191×291×8811
LCM(8810,8816) = 38834480
Factors of 8810
List of positive integer factors of 8810 that divides 8810 without a remainder.
1, 2, 5, 10, 881, 1762, 4405, 8810
Factors of 8816
List of positive integer factors of 8816 that divides 8816 without a remainder.
1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8810 and 8816, than apply into the LCM equation.
GCF(8810,8816) = 2
LCM(8810,8816) = ( 8810 × 8816) / 2
LCM(8810,8816) = 77668960 / 2
LCM(8810,8816) = 38834480
(i) The LCM of 8816 and 8810 is associative
LCM of 8810 and 8816 = LCM of 8816 and 8810
1. What is the LCM of 8810 and 8816?
Answer: LCM of 8810 and 8816 is 38834480.
2. What are the Factors of 8810?
Answer: Factors of 8810 are 1, 2, 5, 10, 881, 1762, 4405, 8810. There are 8 integers that are factors of 8810. The greatest factor of 8810 is 8810.
3. What are the Factors of 8816?
Answer: Factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816. There are 20 integers that are factors of 8816. The greatest factor of 8816 is 8816.
4. How to Find the LCM of 8810 and 8816?
Answer:
Least Common Multiple of 8810 and 8816 = 38834480
Step 1: Find the prime factorization of 8810
8810 = 2 x 5 x 881
Step 2: Find the prime factorization of 8816
8816 = 2 x 2 x 2 x 2 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38834480 = 2 x 2 x 2 x 2 x 5 x 19 x 29 x 881
Step 4: Therefore, the least common multiple of 8810 and 8816 is 38834480.