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 8885 the smallest integer that is 78881030 that is divisible by both numbers.
Least Common Multiple (LCM) of 8878 and 8885 is 78881030.
LCM(8878,8885) = 78881030
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 8885. First we will calculate the prime factors of 8878 and 8885.
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 8885
5 | 8885 |
1777 | 1777 |
1 |
Prime factors of 8885 are 5,1777. Prime factorization of 8885 in exponential form is:
8885 = 51×17771
Now multiplying the highest exponent prime factors to calculate the LCM of 8878 and 8885.
LCM(8878,8885) = 21×51×231×1931×17771
LCM(8878,8885) = 78881030
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 8885
List of positive integer factors of 8885 that divides 8885 without a remainder.
1, 5, 1777, 8885
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8878 and 8885, than apply into the LCM equation.
GCF(8878,8885) = 1
LCM(8878,8885) = ( 8878 × 8885) / 1
LCM(8878,8885) = 78881030 / 1
LCM(8878,8885) = 78881030
(i) The LCM of 8885 and 8878 is associative
LCM of 8878 and 8885 = LCM of 8885 and 8878
1. What is the LCM of 8878 and 8885?
Answer: LCM of 8878 and 8885 is 78881030.
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 8885?
Answer: Factors of 8885 are 1, 5, 1777, 8885. There are 4 integers that are factors of 8885. The greatest factor of 8885 is 8885.
4. How to Find the LCM of 8878 and 8885?
Answer:
Least Common Multiple of 8878 and 8885 = 78881030
Step 1: Find the prime factorization of 8878
8878 = 2 x 23 x 193
Step 2: Find the prime factorization of 8885
8885 = 5 x 1777
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78881030 = 2 x 5 x 23 x 193 x 1777
Step 4: Therefore, the least common multiple of 8878 and 8885 is 78881030.