Least Common Multiple of 8873 and 8877
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8873 and 8877 the smallest integer that is 78765621 that is divisible by both numbers.
Least Common Multiple (LCM) of 8873 and 8877 is 78765621.
LCM(8873,8877) = 78765621
LCM of 8873 and 8877
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8873 and 8877 by Prime method
- Least Common Multiple of 8873 and 8877 with GCF Formula
LCM of 8873 and 8877 is 78765621
Least common multiple can be found by multiplying the highest exponent prime factors of 8873 and 8877. First we will calculate the prime factors of 8873 and 8877.
Prime Factorization of 8873
| 19 | 8873 |
| 467 | 467 |
| 1 |
Prime factors of 8873 are 19,467. Prime factorization of 8873 in exponential form is:
8873 = 191×4671
Prime Factorization of 8877
| 3 | 8877 |
| 11 | 2959 |
| 269 | 269 |
| 1 |
Prime factors of 8877 are 3, 11,269. Prime factorization of 8877 in exponential form is:
8877 = 31×111×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 8873 and 8877.
LCM(8873,8877) = 31×111×191×2691×4671
LCM(8873,8877) = 78765621
Factors of 8873
List of positive integer factors of 8873 that divides 8873 without a remainder.
1, 19, 467, 8873
Factors of 8877
List of positive integer factors of 8877 that divides 8877 without a remainder.
1, 3, 11, 33, 269, 807, 2959, 8877
Least Common Multiple of 8873 and 8877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8873 and 8877, than apply into the LCM equation.
GCF(8873,8877) = 1
LCM(8873,8877) = ( 8873 × 8877) / 1
LCM(8873,8877) = 78765621 / 1
LCM(8873,8877) = 78765621
Properties of LCM 8873 and 8877
(i) The LCM of 8877 and 8873 is associative
LCM of 8873 and 8877 = LCM of 8877 and 8873
Related Least Common Multiples of 8873
Related Least Common Multiples of 8877
Frequently Asked Questions on LCM of 8873 and 8877
1. What is the LCM of 8873 and 8877?
Answer: LCM of 8873 and 8877 is 78765621.
2. What are the Factors of 8873?
Answer: Factors of 8873 are 1, 19, 467, 8873. There are 4 integers that are factors of 8873. The greatest factor of 8873 is 8873.
3. What are the Factors of 8877?
Answer: Factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877. There are 8 integers that are factors of 8877. The greatest factor of 8877 is 8877.
4. How to Find the LCM of 8873 and 8877?
Answer:
Least Common Multiple of 8873 and 8877 = 78765621
Step 1: Find the prime factorization of 8873
8873 = 19 x 467
Step 2: Find the prime factorization of 8877
8877 = 3 x 11 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78765621 = 3 x 11 x 19 x 269 x 467
Step 4: Therefore, the least common multiple of 8873 and 8877 is 78765621.