Least Common Multiple of 6969 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 6969 and 6973 the smallest integer that is 48594837 that is divisible by both numbers.
Least Common Multiple (LCM) of 6969 and 6973 is 48594837.
LCM(6969,6973) = 48594837
LCM of 6969 and 6973
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6969 and 6973 by Prime method
- Least Common Multiple of 6969 and 6973 with GCF Formula
LCM of 6969 and 6973 is 48594837
Least common multiple can be found by multiplying the highest exponent prime factors of 6969 and 6973. First we will calculate the prime factors of 6969 and 6973.
Prime Factorization of 6969
| 3 | 6969 |
| 23 | 2323 |
| 101 | 101 |
| 1 |
Prime factors of 6969 are 3, 23,101. Prime factorization of 6969 in exponential form is:
6969 = 31×231×1011
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 6969 and 6973.
LCM(6969,6973) = 31×191×231×1011×3671
LCM(6969,6973) = 48594837
Factors of 6969
List of positive integer factors of 6969 that divides 6969 without a remainder.
1, 3, 23, 69, 101, 303, 2323, 6969
Factors of 6973
List of positive integer factors of 6973 that divides 6973 without a remainder.
1, 19, 367, 6973
Least Common Multiple of 6969 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 6969 and 6973, than apply into the LCM equation.
GCF(6969,6973) = 1
LCM(6969,6973) = ( 6969 × 6973) / 1
LCM(6969,6973) = 48594837 / 1
LCM(6969,6973) = 48594837
Properties of LCM 6969 and 6973
(i) The LCM of 6973 and 6969 is associative
LCM of 6969 and 6973 = LCM of 6973 and 6969
Related Least Common Multiples of 6969
Related Least Common Multiples of 6973
Frequently Asked Questions on LCM of 6969 and 6973
1. What is the LCM of 6969 and 6973?
Answer: LCM of 6969 and 6973 is 48594837.
2. What are the Factors of 6969?
Answer: Factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969. There are 8 integers that are factors of 6969. The greatest factor of 6969 is 6969.
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 6969 and 6973?
Answer:
Least Common Multiple of 6969 and 6973 = 48594837
Step 1: Find the prime factorization of 6969
6969 = 3 x 23 x 101
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 = 48594837 = 3 x 19 x 23 x 101 x 367
Step 4: Therefore, the least common multiple of 6969 and 6973 is 48594837.