Least Common Multiple of 6975 and 6979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6975 and 6979 the smallest integer that is 48678525 that is divisible by both numbers.
Least Common Multiple (LCM) of 6975 and 6979 is 48678525.
LCM(6975,6979) = 48678525
LCM of 6975 and 6979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6975 and 6979 by Prime method
- Least Common Multiple of 6975 and 6979 with GCF Formula
LCM of 6975 and 6979 is 48678525
Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6979. First we will calculate the prime factors of 6975 and 6979.
Prime Factorization of 6975
| 3 | 6975 |
| 3 | 2325 |
| 5 | 775 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 6975 are 3, 5,31. Prime factorization of 6975 in exponential form is:
6975 = 32×52×311
Prime Factorization of 6979
| 7 | 6979 |
| 997 | 997 |
| 1 |
Prime factors of 6979 are 7,997. Prime factorization of 6979 in exponential form is:
6979 = 71×9971
Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6979.
LCM(6975,6979) = 32×52×71×311×9971
LCM(6975,6979) = 48678525
Factors of 6975
List of positive integer factors of 6975 that divides 6975 without a remainder.
1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975
Factors of 6979
List of positive integer factors of 6979 that divides 6979 without a remainder.
1, 7, 997, 6979
Least Common Multiple of 6975 and 6979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6975 and 6979, than apply into the LCM equation.
GCF(6975,6979) = 1
LCM(6975,6979) = ( 6975 × 6979) / 1
LCM(6975,6979) = 48678525 / 1
LCM(6975,6979) = 48678525
Properties of LCM 6975 and 6979
(i) The LCM of 6979 and 6975 is associative
LCM of 6975 and 6979 = LCM of 6979 and 6975
Related Least Common Multiples of 6975
Related Least Common Multiples of 6979
Frequently Asked Questions on LCM of 6975 and 6979
1. What is the LCM of 6975 and 6979?
Answer: LCM of 6975 and 6979 is 48678525.
2. What are the Factors of 6975?
Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.
3. What are the Factors of 6979?
Answer: Factors of 6979 are 1, 7, 997, 6979. There are 4 integers that are factors of 6979. The greatest factor of 6979 is 6979.
4. How to Find the LCM of 6975 and 6979?
Answer:
Least Common Multiple of 6975 and 6979 = 48678525
Step 1: Find the prime factorization of 6975
6975 = 3 x 3 x 5 x 5 x 31
Step 2: Find the prime factorization of 6979
6979 = 7 x 997
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48678525 = 3 x 3 x 5 x 5 x 7 x 31 x 997
Step 4: Therefore, the least common multiple of 6975 and 6979 is 48678525.