Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8826 and 8833 the smallest integer that is 77960058 that is divisible by both numbers.
Least Common Multiple (LCM) of 8826 and 8833 is 77960058.
LCM(8826,8833) = 77960058
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 8826 and 8833. First we will calculate the prime factors of 8826 and 8833.
Prime Factorization of 8826
2 | 8826 |
3 | 4413 |
1471 | 1471 |
1 |
Prime factors of 8826 are 2, 3,1471. Prime factorization of 8826 in exponential form is:
8826 = 21×31×14711
Prime Factorization of 8833
11 | 8833 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 8833 are 11,73. Prime factorization of 8833 in exponential form is:
8833 = 112×731
Now multiplying the highest exponent prime factors to calculate the LCM of 8826 and 8833.
LCM(8826,8833) = 21×31×112×731×14711
LCM(8826,8833) = 77960058
Factors of 8826
List of positive integer factors of 8826 that divides 8826 without a remainder.
1, 2, 3, 6, 1471, 2942, 4413, 8826
Factors of 8833
List of positive integer factors of 8833 that divides 8833 without a remainder.
1, 11, 73, 121, 803, 8833
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8826 and 8833, than apply into the LCM equation.
GCF(8826,8833) = 1
LCM(8826,8833) = ( 8826 × 8833) / 1
LCM(8826,8833) = 77960058 / 1
LCM(8826,8833) = 77960058
(i) The LCM of 8833 and 8826 is associative
LCM of 8826 and 8833 = LCM of 8833 and 8826
1. What is the LCM of 8826 and 8833?
Answer: LCM of 8826 and 8833 is 77960058.
2. What are the Factors of 8826?
Answer: Factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826. There are 8 integers that are factors of 8826. The greatest factor of 8826 is 8826.
3. What are the Factors of 8833?
Answer: Factors of 8833 are 1, 11, 73, 121, 803, 8833. There are 6 integers that are factors of 8833. The greatest factor of 8833 is 8833.
4. How to Find the LCM of 8826 and 8833?
Answer:
Least Common Multiple of 8826 and 8833 = 77960058
Step 1: Find the prime factorization of 8826
8826 = 2 x 3 x 1471
Step 2: Find the prime factorization of 8833
8833 = 11 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77960058 = 2 x 3 x 11 x 11 x 73 x 1471
Step 4: Therefore, the least common multiple of 8826 and 8833 is 77960058.