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 8831 the smallest integer that is 77942406 that is divisible by both numbers.
Least Common Multiple (LCM) of 8826 and 8831 is 77942406.
LCM(8826,8831) = 77942406
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 8831. First we will calculate the prime factors of 8826 and 8831.
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 8831
8831 | 8831 |
1 |
Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:
8831 = 88311
Now multiplying the highest exponent prime factors to calculate the LCM of 8826 and 8831.
LCM(8826,8831) = 21×31×14711×88311
LCM(8826,8831) = 77942406
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 8831
List of positive integer factors of 8831 that divides 8831 without a remainder.
1, 8831
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8826 and 8831, than apply into the LCM equation.
GCF(8826,8831) = 1
LCM(8826,8831) = ( 8826 × 8831) / 1
LCM(8826,8831) = 77942406 / 1
LCM(8826,8831) = 77942406
(i) The LCM of 8831 and 8826 is associative
LCM of 8826 and 8831 = LCM of 8831 and 8826
1. What is the LCM of 8826 and 8831?
Answer: LCM of 8826 and 8831 is 77942406.
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 8831?
Answer: Factors of 8831 are 1, 8831. There are 2 integers that are factors of 8831. The greatest factor of 8831 is 8831.
4. How to Find the LCM of 8826 and 8831?
Answer:
Least Common Multiple of 8826 and 8831 = 77942406
Step 1: Find the prime factorization of 8826
8826 = 2 x 3 x 1471
Step 2: Find the prime factorization of 8831
8831 = 8831
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 77942406 = 2 x 3 x 1471 x 8831
Step 4: Therefore, the least common multiple of 8826 and 8831 is 77942406.