Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6976 and 6981 the smallest integer that is 48699456 that is divisible by both numbers.
Least Common Multiple (LCM) of 6976 and 6981 is 48699456.
LCM(6976,6981) = 48699456
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 6976 and 6981. First we will calculate the prime factors of 6976 and 6981.
Prime Factorization of 6976
2 | 6976 |
2 | 3488 |
2 | 1744 |
2 | 872 |
2 | 436 |
2 | 218 |
109 | 109 |
1 |
Prime factors of 6976 are 2,109. Prime factorization of 6976 in exponential form is:
6976 = 26×1091
Prime Factorization of 6981
3 | 6981 |
13 | 2327 |
179 | 179 |
1 |
Prime factors of 6981 are 3, 13,179. Prime factorization of 6981 in exponential form is:
6981 = 31×131×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 6976 and 6981.
LCM(6976,6981) = 26×31×131×1091×1791
LCM(6976,6981) = 48699456
Factors of 6976
List of positive integer factors of 6976 that divides 6976 without a remainder.
1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976
Factors of 6981
List of positive integer factors of 6981 that divides 6981 without a remainder.
1, 3, 13, 39, 179, 537, 2327, 6981
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6976 and 6981, than apply into the LCM equation.
GCF(6976,6981) = 1
LCM(6976,6981) = ( 6976 × 6981) / 1
LCM(6976,6981) = 48699456 / 1
LCM(6976,6981) = 48699456
(i) The LCM of 6981 and 6976 is associative
LCM of 6976 and 6981 = LCM of 6981 and 6976
1. What is the LCM of 6976 and 6981?
Answer: LCM of 6976 and 6981 is 48699456.
2. What are the Factors of 6976?
Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.
3. What are the Factors of 6981?
Answer: Factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981. There are 8 integers that are factors of 6981. The greatest factor of 6981 is 6981.
4. How to Find the LCM of 6976 and 6981?
Answer:
Least Common Multiple of 6976 and 6981 = 48699456
Step 1: Find the prime factorization of 6976
6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109
Step 2: Find the prime factorization of 6981
6981 = 3 x 13 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48699456 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 109 x 179
Step 4: Therefore, the least common multiple of 6976 and 6981 is 48699456.