Least Common Multiple of 8931 and 8939
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8931 and 8939 the smallest integer that is 79834209 that is divisible by both numbers.
Least Common Multiple (LCM) of 8931 and 8939 is 79834209.
LCM(8931,8939) = 79834209
LCM of 8931 and 8939
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8931 and 8939 by Prime method
- Least Common Multiple of 8931 and 8939 with GCF Formula
LCM of 8931 and 8939 is 79834209
Least common multiple can be found by multiplying the highest exponent prime factors of 8931 and 8939. First we will calculate the prime factors of 8931 and 8939.
Prime Factorization of 8931
| 3 | 8931 |
| 13 | 2977 |
| 229 | 229 |
| 1 |
Prime factors of 8931 are 3, 13,229. Prime factorization of 8931 in exponential form is:
8931 = 31×131×2291
Prime Factorization of 8939
| 7 | 8939 |
| 1277 | 1277 |
| 1 |
Prime factors of 8939 are 7,1277. Prime factorization of 8939 in exponential form is:
8939 = 71×12771
Now multiplying the highest exponent prime factors to calculate the LCM of 8931 and 8939.
LCM(8931,8939) = 31×71×131×2291×12771
LCM(8931,8939) = 79834209
Factors of 8931
List of positive integer factors of 8931 that divides 8931 without a remainder.
1, 3, 13, 39, 229, 687, 2977, 8931
Factors of 8939
List of positive integer factors of 8939 that divides 8939 without a remainder.
1, 7, 1277, 8939
Least Common Multiple of 8931 and 8939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8931 and 8939, than apply into the LCM equation.
GCF(8931,8939) = 1
LCM(8931,8939) = ( 8931 × 8939) / 1
LCM(8931,8939) = 79834209 / 1
LCM(8931,8939) = 79834209
Properties of LCM 8931 and 8939
(i) The LCM of 8939 and 8931 is associative
LCM of 8931 and 8939 = LCM of 8939 and 8931
Related Least Common Multiples of 8931
Related Least Common Multiples of 8939
Frequently Asked Questions on LCM of 8931 and 8939
1. What is the LCM of 8931 and 8939?
Answer: LCM of 8931 and 8939 is 79834209.
2. What are the Factors of 8931?
Answer: Factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931. There are 8 integers that are factors of 8931. The greatest factor of 8931 is 8931.
3. What are the Factors of 8939?
Answer: Factors of 8939 are 1, 7, 1277, 8939. There are 4 integers that are factors of 8939. The greatest factor of 8939 is 8939.
4. How to Find the LCM of 8931 and 8939?
Answer:
Least Common Multiple of 8931 and 8939 = 79834209
Step 1: Find the prime factorization of 8931
8931 = 3 x 13 x 229
Step 2: Find the prime factorization of 8939
8939 = 7 x 1277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 79834209 = 3 x 7 x 13 x 229 x 1277
Step 4: Therefore, the least common multiple of 8931 and 8939 is 79834209.