Least Common Multiple of 8879 and 8883
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8879 and 8883 the smallest integer that is 78872157 that is divisible by both numbers.
Least Common Multiple (LCM) of 8879 and 8883 is 78872157.
LCM(8879,8883) = 78872157
LCM of 8879 and 8883
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8879 and 8883 by Prime method
- Least Common Multiple of 8879 and 8883 with GCF Formula
LCM of 8879 and 8883 is 78872157
Least common multiple can be found by multiplying the highest exponent prime factors of 8879 and 8883. First we will calculate the prime factors of 8879 and 8883.
Prime Factorization of 8879
| 13 | 8879 |
| 683 | 683 |
| 1 |
Prime factors of 8879 are 13,683. Prime factorization of 8879 in exponential form is:
8879 = 131×6831
Prime Factorization of 8883
| 3 | 8883 |
| 3 | 2961 |
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 8883 are 3, 7,47. Prime factorization of 8883 in exponential form is:
8883 = 33×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 8879 and 8883.
LCM(8879,8883) = 33×71×131×471×6831
LCM(8879,8883) = 78872157
Factors of 8879
List of positive integer factors of 8879 that divides 8879 without a remainder.
1, 13, 683, 8879
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
Least Common Multiple of 8879 and 8883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8879 and 8883, than apply into the LCM equation.
GCF(8879,8883) = 1
LCM(8879,8883) = ( 8879 × 8883) / 1
LCM(8879,8883) = 78872157 / 1
LCM(8879,8883) = 78872157
Properties of LCM 8879 and 8883
(i) The LCM of 8883 and 8879 is associative
LCM of 8879 and 8883 = LCM of 8883 and 8879
Related Least Common Multiples of 8879
Related Least Common Multiples of 8883
Frequently Asked Questions on LCM of 8879 and 8883
1. What is the LCM of 8879 and 8883?
Answer: LCM of 8879 and 8883 is 78872157.
2. What are the Factors of 8879?
Answer: Factors of 8879 are 1, 13, 683, 8879. There are 4 integers that are factors of 8879. The greatest factor of 8879 is 8879.
3. What are the Factors of 8883?
Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.
4. How to Find the LCM of 8879 and 8883?
Answer:
Least Common Multiple of 8879 and 8883 = 78872157
Step 1: Find the prime factorization of 8879
8879 = 13 x 683
Step 2: Find the prime factorization of 8883
8883 = 3 x 3 x 3 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78872157 = 3 x 3 x 3 x 7 x 13 x 47 x 683
Step 4: Therefore, the least common multiple of 8879 and 8883 is 78872157.