Least Common Multiple of 6991 and 6996
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6991 and 6996 the smallest integer that is 48909036 that is divisible by both numbers.
Least Common Multiple (LCM) of 6991 and 6996 is 48909036.
LCM(6991,6996) = 48909036
LCM of 6991 and 6996
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6991 and 6996 by Prime method
- Least Common Multiple of 6991 and 6996 with GCF Formula
LCM of 6991 and 6996 is 48909036
Least common multiple can be found by multiplying the highest exponent prime factors of 6991 and 6996. First we will calculate the prime factors of 6991 and 6996.
Prime Factorization of 6991
| 6991 | 6991 |
| 1 |
Prime factors of 6991 are 6991. Prime factorization of 6991 in exponential form is:
6991 = 69911
Prime Factorization of 6996
| 2 | 6996 |
| 2 | 3498 |
| 3 | 1749 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 6996 are 2, 3, 11,53. Prime factorization of 6996 in exponential form is:
6996 = 22×31×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 6991 and 6996.
LCM(6991,6996) = 22×31×111×531×69911
LCM(6991,6996) = 48909036
Factors of 6991
List of positive integer factors of 6991 that divides 6991 without a remainder.
1, 6991
Factors of 6996
List of positive integer factors of 6996 that divides 6996 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
Least Common Multiple of 6991 and 6996 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6991 and 6996, than apply into the LCM equation.
GCF(6991,6996) = 1
LCM(6991,6996) = ( 6991 × 6996) / 1
LCM(6991,6996) = 48909036 / 1
LCM(6991,6996) = 48909036
Properties of LCM 6991 and 6996
(i) The LCM of 6996 and 6991 is associative
LCM of 6991 and 6996 = LCM of 6996 and 6991
Related Least Common Multiples of 6991
Related Least Common Multiples of 6996
Frequently Asked Questions on LCM of 6991 and 6996
1. What is the LCM of 6991 and 6996?
Answer: LCM of 6991 and 6996 is 48909036.
2. What are the Factors of 6991?
Answer: Factors of 6991 are 1, 6991. There are 2 integers that are factors of 6991. The greatest factor of 6991 is 6991.
3. What are the Factors of 6996?
Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.
4. How to Find the LCM of 6991 and 6996?
Answer:
Least Common Multiple of 6991 and 6996 = 48909036
Step 1: Find the prime factorization of 6991
6991 = 6991
Step 2: Find the prime factorization of 6996
6996 = 2 x 2 x 3 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48909036 = 2 x 2 x 3 x 11 x 53 x 6991
Step 4: Therefore, the least common multiple of 6991 and 6996 is 48909036.