Least Common Multiple of 3243 and 3247
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3243 and 3247 the smallest integer that is 10530021 that is divisible by both numbers.
Least Common Multiple (LCM) of 3243 and 3247 is 10530021.
LCM(3243,3247) = 10530021
LCM of 3243 and 3247
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3243 and 3247 by Prime method
- Least Common Multiple of 3243 and 3247 with GCF Formula
LCM of 3243 and 3247 is 10530021
Least common multiple can be found by multiplying the highest exponent prime factors of 3243 and 3247. First we will calculate the prime factors of 3243 and 3247.
Prime Factorization of 3243
| 3 | 3243 |
| 23 | 1081 |
| 47 | 47 |
| 1 |
Prime factors of 3243 are 3, 23,47. Prime factorization of 3243 in exponential form is:
3243 = 31×231×471
Prime Factorization of 3247
| 17 | 3247 |
| 191 | 191 |
| 1 |
Prime factors of 3247 are 17,191. Prime factorization of 3247 in exponential form is:
3247 = 171×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 3243 and 3247.
LCM(3243,3247) = 31×171×231×471×1911
LCM(3243,3247) = 10530021
Factors of 3243
List of positive integer factors of 3243 that divides 3243 without a remainder.
1, 3, 23, 47, 69, 141, 1081, 3243
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1, 17, 191, 3247
Least Common Multiple of 3243 and 3247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3243 and 3247, than apply into the LCM equation.
GCF(3243,3247) = 1
LCM(3243,3247) = ( 3243 × 3247) / 1
LCM(3243,3247) = 10530021 / 1
LCM(3243,3247) = 10530021
Properties of LCM 3243 and 3247
(i) The LCM of 3247 and 3243 is associative
LCM of 3243 and 3247 = LCM of 3247 and 3243
Related Least Common Multiples of 3243
Related Least Common Multiples of 3247
Frequently Asked Questions on LCM of 3243 and 3247
1. What is the LCM of 3243 and 3247?
Answer: LCM of 3243 and 3247 is 10530021.
2. What are the Factors of 3243?
Answer: Factors of 3243 are 1, 3, 23, 47, 69, 141, 1081, 3243. There are 8 integers that are factors of 3243. The greatest factor of 3243 is 3243.
3. What are the Factors of 3247?
Answer: Factors of 3247 are 1, 17, 191, 3247. There are 4 integers that are factors of 3247. The greatest factor of 3247 is 3247.
4. How to Find the LCM of 3243 and 3247?
Answer:
Least Common Multiple of 3243 and 3247 = 10530021
Step 1: Find the prime factorization of 3243
3243 = 3 x 23 x 47
Step 2: Find the prime factorization of 3247
3247 = 17 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10530021 = 3 x 17 x 23 x 47 x 191
Step 4: Therefore, the least common multiple of 3243 and 3247 is 10530021.