Least Common Multiple of 7975 and 7981
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7975 and 7981 the smallest integer that is 63648475 that is divisible by both numbers.
Least Common Multiple (LCM) of 7975 and 7981 is 63648475.
LCM(7975,7981) = 63648475
LCM of 7975 and 7981
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7975 and 7981 by Prime method
- Least Common Multiple of 7975 and 7981 with GCF Formula
LCM of 7975 and 7981 is 63648475
Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7981. First we will calculate the prime factors of 7975 and 7981.
Prime Factorization of 7975
| 5 | 7975 |
| 5 | 1595 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 7975 are 5, 11,29. Prime factorization of 7975 in exponential form is:
7975 = 52×111×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7975 and 7981.
LCM(7975,7981) = 52×111×231×291×3471
LCM(7975,7981) = 63648475
Factors of 7975
List of positive integer factors of 7975 that divides 7975 without a remainder.
1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975
Factors of 7981
List of positive integer factors of 7981 that divides 7981 without a remainder.
1, 23, 347, 7981
Least Common Multiple of 7975 and 7981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7975 and 7981, than apply into the LCM equation.
GCF(7975,7981) = 1
LCM(7975,7981) = ( 7975 × 7981) / 1
LCM(7975,7981) = 63648475 / 1
LCM(7975,7981) = 63648475
Properties of LCM 7975 and 7981
(i) The LCM of 7981 and 7975 is associative
LCM of 7975 and 7981 = LCM of 7981 and 7975
Related Least Common Multiples of 7975
Related Least Common Multiples of 7981
Frequently Asked Questions on LCM of 7975 and 7981
1. What is the LCM of 7975 and 7981?
Answer: LCM of 7975 and 7981 is 63648475.
2. What are the Factors of 7975?
Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.
3. 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.
4. How to Find the LCM of 7975 and 7981?
Answer:
Least Common Multiple of 7975 and 7981 = 63648475
Step 1: Find the prime factorization of 7975
7975 = 5 x 5 x 11 x 29
Step 2: Find the prime factorization of 7981
7981 = 23 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63648475 = 5 x 5 x 11 x 23 x 29 x 347
Step 4: Therefore, the least common multiple of 7975 and 7981 is 63648475.