Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8878 and 8884 the smallest integer that is 39436076 that is divisible by both numbers.
Least Common Multiple (LCM) of 8878 and 8884 is 39436076.
LCM(8878,8884) = 39436076
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 8878 and 8884. First we will calculate the prime factors of 8878 and 8884.
Prime Factorization of 8878
2 | 8878 |
23 | 4439 |
193 | 193 |
1 |
Prime factors of 8878 are 2, 23,193. Prime factorization of 8878 in exponential form is:
8878 = 21×231×1931
Prime Factorization of 8884
2 | 8884 |
2 | 4442 |
2221 | 2221 |
1 |
Prime factors of 8884 are 2,2221. Prime factorization of 8884 in exponential form is:
8884 = 22×22211
Now multiplying the highest exponent prime factors to calculate the LCM of 8878 and 8884.
LCM(8878,8884) = 22×231×1931×22211
LCM(8878,8884) = 39436076
Factors of 8878
List of positive integer factors of 8878 that divides 8878 without a remainder.
1, 2, 23, 46, 193, 386, 4439, 8878
Factors of 8884
List of positive integer factors of 8884 that divides 8884 without a remainder.
1, 2, 4, 2221, 4442, 8884
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8878 and 8884, than apply into the LCM equation.
GCF(8878,8884) = 2
LCM(8878,8884) = ( 8878 × 8884) / 2
LCM(8878,8884) = 78872152 / 2
LCM(8878,8884) = 39436076
(i) The LCM of 8884 and 8878 is associative
LCM of 8878 and 8884 = LCM of 8884 and 8878
1. What is the LCM of 8878 and 8884?
Answer: LCM of 8878 and 8884 is 39436076.
2. What are the Factors of 8878?
Answer: Factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878. There are 8 integers that are factors of 8878. The greatest factor of 8878 is 8878.
3. What are the Factors of 8884?
Answer: Factors of 8884 are 1, 2, 4, 2221, 4442, 8884. There are 6 integers that are factors of 8884. The greatest factor of 8884 is 8884.
4. How to Find the LCM of 8878 and 8884?
Answer:
Least Common Multiple of 8878 and 8884 = 39436076
Step 1: Find the prime factorization of 8878
8878 = 2 x 23 x 193
Step 2: Find the prime factorization of 8884
8884 = 2 x 2 x 2221
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39436076 = 2 x 2 x 23 x 193 x 2221
Step 4: Therefore, the least common multiple of 8878 and 8884 is 39436076.