Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6974 and 6979 the smallest integer that is 48671546 that is divisible by both numbers.
Least Common Multiple (LCM) of 6974 and 6979 is 48671546.
LCM(6974,6979) = 48671546
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6974 and 6979. First we will calculate the prime factors of 6974 and 6979.
Prime Factorization of 6974
2 | 6974 |
11 | 3487 |
317 | 317 |
1 |
Prime factors of 6974 are 2, 11,317. Prime factorization of 6974 in exponential form is:
6974 = 21×111×3171
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 6974 and 6979.
LCM(6974,6979) = 21×71×111×3171×9971
LCM(6974,6979) = 48671546
Factors of 6974
List of positive integer factors of 6974 that divides 6974 without a remainder.
1, 2, 11, 22, 317, 634, 3487, 6974
Factors of 6979
List of positive integer factors of 6979 that divides 6979 without a remainder.
1, 7, 997, 6979
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6974 and 6979, than apply into the LCM equation.
GCF(6974,6979) = 1
LCM(6974,6979) = ( 6974 × 6979) / 1
LCM(6974,6979) = 48671546 / 1
LCM(6974,6979) = 48671546
(i) The LCM of 6979 and 6974 is associative
LCM of 6974 and 6979 = LCM of 6979 and 6974
1. What is the LCM of 6974 and 6979?
Answer: LCM of 6974 and 6979 is 48671546.
2. What are the Factors of 6974?
Answer: Factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974. There are 8 integers that are factors of 6974. The greatest factor of 6974 is 6974.
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 6974 and 6979?
Answer:
Least Common Multiple of 6974 and 6979 = 48671546
Step 1: Find the prime factorization of 6974
6974 = 2 x 11 x 317
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 = 48671546 = 2 x 7 x 11 x 317 x 997
Step 4: Therefore, the least common multiple of 6974 and 6979 is 48671546.