Least Common Multiple of 7931 and 7939
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7931 and 7939 the smallest integer that is 62964209 that is divisible by both numbers.
Least Common Multiple (LCM) of 7931 and 7939 is 62964209.
LCM(7931,7939) = 62964209
LCM of 7931 and 7939
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7931 and 7939 by Prime method
- Least Common Multiple of 7931 and 7939 with GCF Formula
LCM of 7931 and 7939 is 62964209
Least common multiple can be found by multiplying the highest exponent prime factors of 7931 and 7939. First we will calculate the prime factors of 7931 and 7939.
Prime Factorization of 7931
| 7 | 7931 |
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 7931 are 7, 11,103. Prime factorization of 7931 in exponential form is:
7931 = 71×111×1031
Prime Factorization of 7939
| 17 | 7939 |
| 467 | 467 |
| 1 |
Prime factors of 7939 are 17,467. Prime factorization of 7939 in exponential form is:
7939 = 171×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 7931 and 7939.
LCM(7931,7939) = 71×111×171×1031×4671
LCM(7931,7939) = 62964209
Factors of 7931
List of positive integer factors of 7931 that divides 7931 without a remainder.
1, 7, 11, 77, 103, 721, 1133, 7931
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1, 17, 467, 7939
Least Common Multiple of 7931 and 7939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7931 and 7939, than apply into the LCM equation.
GCF(7931,7939) = 1
LCM(7931,7939) = ( 7931 × 7939) / 1
LCM(7931,7939) = 62964209 / 1
LCM(7931,7939) = 62964209
Properties of LCM 7931 and 7939
(i) The LCM of 7939 and 7931 is associative
LCM of 7931 and 7939 = LCM of 7939 and 7931
Related Least Common Multiples of 7931
Related Least Common Multiples of 7939
Frequently Asked Questions on LCM of 7931 and 7939
1. What is the LCM of 7931 and 7939?
Answer: LCM of 7931 and 7939 is 62964209.
2. What are the Factors of 7931?
Answer: Factors of 7931 are 1, 7, 11, 77, 103, 721, 1133, 7931. There are 8 integers that are factors of 7931. The greatest factor of 7931 is 7931.
3. What are the Factors of 7939?
Answer: Factors of 7939 are 1, 17, 467, 7939. There are 4 integers that are factors of 7939. The greatest factor of 7939 is 7939.
4. How to Find the LCM of 7931 and 7939?
Answer:
Least Common Multiple of 7931 and 7939 = 62964209
Step 1: Find the prime factorization of 7931
7931 = 7 x 11 x 103
Step 2: Find the prime factorization of 7939
7939 = 17 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62964209 = 7 x 11 x 17 x 103 x 467
Step 4: Therefore, the least common multiple of 7931 and 7939 is 62964209.