Least Common Multiple of 7939 and 7943
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7939 and 7943 the smallest integer that is 63059477 that is divisible by both numbers.
Least Common Multiple (LCM) of 7939 and 7943 is 63059477.
LCM(7939,7943) = 63059477
LCM of 7939 and 7943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7939 and 7943 by Prime method
- Least Common Multiple of 7939 and 7943 with GCF Formula
LCM of 7939 and 7943 is 63059477
Least common multiple can be found by multiplying the highest exponent prime factors of 7939 and 7943. First we will calculate the prime factors of 7939 and 7943.
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
Prime Factorization of 7943
| 13 | 7943 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 7943 are 13,47. Prime factorization of 7943 in exponential form is:
7943 = 132×471
Now multiplying the highest exponent prime factors to calculate the LCM of 7939 and 7943.
LCM(7939,7943) = 132×171×471×4671
LCM(7939,7943) = 63059477
Factors of 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1, 17, 467, 7939
Factors of 7943
List of positive integer factors of 7943 that divides 7943 without a remainder.
1, 13, 47, 169, 611, 7943
Least Common Multiple of 7939 and 7943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7939 and 7943, than apply into the LCM equation.
GCF(7939,7943) = 1
LCM(7939,7943) = ( 7939 × 7943) / 1
LCM(7939,7943) = 63059477 / 1
LCM(7939,7943) = 63059477
Properties of LCM 7939 and 7943
(i) The LCM of 7943 and 7939 is associative
LCM of 7939 and 7943 = LCM of 7943 and 7939
Related Least Common Multiples of 7939
Related Least Common Multiples of 7943
Frequently Asked Questions on LCM of 7939 and 7943
1. What is the LCM of 7939 and 7943?
Answer: LCM of 7939 and 7943 is 63059477.
2. 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.
3. What are the Factors of 7943?
Answer: Factors of 7943 are 1, 13, 47, 169, 611, 7943. There are 6 integers that are factors of 7943. The greatest factor of 7943 is 7943.
4. How to Find the LCM of 7939 and 7943?
Answer:
Least Common Multiple of 7939 and 7943 = 63059477
Step 1: Find the prime factorization of 7939
7939 = 17 x 467
Step 2: Find the prime factorization of 7943
7943 = 13 x 13 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 = 63059477 = 13 x 13 x 17 x 47 x 467
Step 4: Therefore, the least common multiple of 7939 and 7943 is 63059477.