Least Common Multiple of 7981 and 7982
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7981 and 7982 the smallest integer that is 63704342 that is divisible by both numbers.
Least Common Multiple (LCM) of 7981 and 7982 is 63704342.
LCM(7981,7982) = 63704342
LCM of 7981 and 7982
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7981 and 7982 by Prime method
- Least Common Multiple of 7981 and 7982 with GCF Formula
LCM of 7981 and 7982 is 63704342
Least common multiple can be found by multiplying the highest exponent prime factors of 7981 and 7982. First we will calculate the prime factors of 7981 and 7982.
Prime Factorization of 7981
| 23 | 7981 |
| 347 | 347 |
| 1 |
Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:
7981 = 231×3471
Prime Factorization of 7982
| 2 | 7982 |
| 13 | 3991 |
| 307 | 307 |
| 1 |
Prime factors of 7982 are 2, 13,307. Prime factorization of 7982 in exponential form is:
7982 = 21×131×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 7981 and 7982.
LCM(7981,7982) = 21×131×231×3071×3471
LCM(7981,7982) = 63704342
Factors of 7981
List of positive integer factors of 7981 that divides 7981 without a remainder.
1, 23, 347, 7981
Factors of 7982
List of positive integer factors of 7982 that divides 7982 without a remainder.
1, 2, 13, 26, 307, 614, 3991, 7982
Least Common Multiple of 7981 and 7982 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7981 and 7982, than apply into the LCM equation.
GCF(7981,7982) = 1
LCM(7981,7982) = ( 7981 × 7982) / 1
LCM(7981,7982) = 63704342 / 1
LCM(7981,7982) = 63704342
Properties of LCM 7981 and 7982
(i) The LCM of 7982 and 7981 is associative
LCM of 7981 and 7982 = LCM of 7982 and 7981
Related Least Common Multiples of 7981
Related Least Common Multiples of 7982
Frequently Asked Questions on LCM of 7981 and 7982
1. What is the LCM of 7981 and 7982?
Answer: LCM of 7981 and 7982 is 63704342.
2. What are the Factors of 7981?
Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.
3. What are the Factors of 7982?
Answer: Factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982. There are 8 integers that are factors of 7982. The greatest factor of 7982 is 7982.
4. How to Find the LCM of 7981 and 7982?
Answer:
Least Common Multiple of 7981 and 7982 = 63704342
Step 1: Find the prime factorization of 7981
7981 = 23 x 347
Step 2: Find the prime factorization of 7982
7982 = 2 x 13 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63704342 = 2 x 13 x 23 x 307 x 347
Step 4: Therefore, the least common multiple of 7981 and 7982 is 63704342.
