Least Common Multiple of 6966 and 6973
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6966 and 6973 the smallest integer that is 48573918 that is divisible by both numbers.
Least Common Multiple (LCM) of 6966 and 6973 is 48573918.
LCM(6966,6973) = 48573918
LCM of 6966 and 6973
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6966 and 6973 by Prime method
- Least Common Multiple of 6966 and 6973 with GCF Formula
LCM of 6966 and 6973 is 48573918
Least common multiple can be found by multiplying the highest exponent prime factors of 6966 and 6973. First we will calculate the prime factors of 6966 and 6973.
Prime Factorization of 6966
| 2 | 6966 |
| 3 | 3483 |
| 3 | 1161 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 6966 are 2, 3,43. Prime factorization of 6966 in exponential form is:
6966 = 21×34×431
Prime Factorization of 6973
| 19 | 6973 |
| 367 | 367 |
| 1 |
Prime factors of 6973 are 19,367. Prime factorization of 6973 in exponential form is:
6973 = 191×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 6966 and 6973.
LCM(6966,6973) = 21×34×191×431×3671
LCM(6966,6973) = 48573918
Factors of 6966
List of positive integer factors of 6966 that divides 6966 without a remainder.
1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
Factors of 6973
List of positive integer factors of 6973 that divides 6973 without a remainder.
1, 19, 367, 6973
Least Common Multiple of 6966 and 6973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6966 and 6973, than apply into the LCM equation.
GCF(6966,6973) = 1
LCM(6966,6973) = ( 6966 × 6973) / 1
LCM(6966,6973) = 48573918 / 1
LCM(6966,6973) = 48573918
Properties of LCM 6966 and 6973
(i) The LCM of 6973 and 6966 is associative
LCM of 6966 and 6973 = LCM of 6973 and 6966
Related Least Common Multiples of 6966
Related Least Common Multiples of 6973
Frequently Asked Questions on LCM of 6966 and 6973
1. What is the LCM of 6966 and 6973?
Answer: LCM of 6966 and 6973 is 48573918.
2. What are the Factors of 6966?
Answer: Factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966. There are 20 integers that are factors of 6966. The greatest factor of 6966 is 6966.
3. What are the Factors of 6973?
Answer: Factors of 6973 are 1, 19, 367, 6973. There are 4 integers that are factors of 6973. The greatest factor of 6973 is 6973.
4. How to Find the LCM of 6966 and 6973?
Answer:
Least Common Multiple of 6966 and 6973 = 48573918
Step 1: Find the prime factorization of 6966
6966 = 2 x 3 x 3 x 3 x 3 x 43
Step 2: Find the prime factorization of 6973
6973 = 19 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48573918 = 2 x 3 x 3 x 3 x 3 x 19 x 43 x 367
Step 4: Therefore, the least common multiple of 6966 and 6973 is 48573918.