Least Common Multiple of 7975 and 7979
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 7979 the smallest integer that is 63632525 that is divisible by both numbers.
Least Common Multiple (LCM) of 7975 and 7979 is 63632525.
LCM(7975,7979) = 63632525
LCM of 7975 and 7979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7975 and 7979 by Prime method
- Least Common Multiple of 7975 and 7979 with GCF Formula
LCM of 7975 and 7979 is 63632525
Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7979. First we will calculate the prime factors of 7975 and 7979.
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 7979
| 79 | 7979 |
| 101 | 101 |
| 1 |
Prime factors of 7979 are 79,101. Prime factorization of 7979 in exponential form is:
7979 = 791×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 7975 and 7979.
LCM(7975,7979) = 52×111×291×791×1011
LCM(7975,7979) = 63632525
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 7979
List of positive integer factors of 7979 that divides 7979 without a remainder.
1, 79, 101, 7979
Least Common Multiple of 7975 and 7979 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 7979, than apply into the LCM equation.
GCF(7975,7979) = 1
LCM(7975,7979) = ( 7975 × 7979) / 1
LCM(7975,7979) = 63632525 / 1
LCM(7975,7979) = 63632525
Properties of LCM 7975 and 7979
(i) The LCM of 7979 and 7975 is associative
LCM of 7975 and 7979 = LCM of 7979 and 7975
Related Least Common Multiples of 7975
Related Least Common Multiples of 7979
Frequently Asked Questions on LCM of 7975 and 7979
1. What is the LCM of 7975 and 7979?
Answer: LCM of 7975 and 7979 is 63632525.
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 7979?
Answer: Factors of 7979 are 1, 79, 101, 7979. There are 4 integers that are factors of 7979. The greatest factor of 7979 is 7979.
4. How to Find the LCM of 7975 and 7979?
Answer:
Least Common Multiple of 7975 and 7979 = 63632525
Step 1: Find the prime factorization of 7975
7975 = 5 x 5 x 11 x 29
Step 2: Find the prime factorization of 7979
7979 = 79 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63632525 = 5 x 5 x 11 x 29 x 79 x 101
Step 4: Therefore, the least common multiple of 7975 and 7979 is 63632525.