Least Common Multiple of 8877 and 8881
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8877 and 8881 the smallest integer that is 78836637 that is divisible by both numbers.
Least Common Multiple (LCM) of 8877 and 8881 is 78836637.
LCM(8877,8881) = 78836637
LCM of 8877 and 8881
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8877 and 8881 by Prime method
- Least Common Multiple of 8877 and 8881 with GCF Formula
LCM of 8877 and 8881 is 78836637
Least common multiple can be found by multiplying the highest exponent prime factors of 8877 and 8881. First we will calculate the prime factors of 8877 and 8881.
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
Prime Factorization of 8881
| 83 | 8881 |
| 107 | 107 |
| 1 |
Prime factors of 8881 are 83,107. Prime factorization of 8881 in exponential form is:
8881 = 831×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 8877 and 8881.
LCM(8877,8881) = 31×111×831×1071×2691
LCM(8877,8881) = 78836637
Factors of 8877
List of positive integer factors of 8877 that divides 8877 without a remainder.
1, 3, 11, 33, 269, 807, 2959, 8877
Factors of 8881
List of positive integer factors of 8881 that divides 8881 without a remainder.
1, 83, 107, 8881
Least Common Multiple of 8877 and 8881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8877 and 8881, than apply into the LCM equation.
GCF(8877,8881) = 1
LCM(8877,8881) = ( 8877 × 8881) / 1
LCM(8877,8881) = 78836637 / 1
LCM(8877,8881) = 78836637
Properties of LCM 8877 and 8881
(i) The LCM of 8881 and 8877 is associative
LCM of 8877 and 8881 = LCM of 8881 and 8877
Related Least Common Multiples of 8877
Related Least Common Multiples of 8881
Frequently Asked Questions on LCM of 8877 and 8881
1. What is the LCM of 8877 and 8881?
Answer: LCM of 8877 and 8881 is 78836637.
2. 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.
3. What are the Factors of 8881?
Answer: Factors of 8881 are 1, 83, 107, 8881. There are 4 integers that are factors of 8881. The greatest factor of 8881 is 8881.
4. How to Find the LCM of 8877 and 8881?
Answer:
Least Common Multiple of 8877 and 8881 = 78836637
Step 1: Find the prime factorization of 8877
8877 = 3 x 11 x 269
Step 2: Find the prime factorization of 8881
8881 = 83 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78836637 = 3 x 11 x 83 x 107 x 269
Step 4: Therefore, the least common multiple of 8877 and 8881 is 78836637.