Least Common Multiple of 3239 and 3243
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3239 and 3243 the smallest integer that is 10504077 that is divisible by both numbers.
Least Common Multiple (LCM) of 3239 and 3243 is 10504077.
LCM(3239,3243) = 10504077
LCM of 3239 and 3243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3239 and 3243 by Prime method
- Least Common Multiple of 3239 and 3243 with GCF Formula
LCM of 3239 and 3243 is 10504077
Least common multiple can be found by multiplying the highest exponent prime factors of 3239 and 3243. First we will calculate the prime factors of 3239 and 3243.
Prime Factorization of 3239
| 41 | 3239 |
| 79 | 79 |
| 1 |
Prime factors of 3239 are 41,79. Prime factorization of 3239 in exponential form is:
3239 = 411×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3239 and 3243.
LCM(3239,3243) = 31×231×411×471×791
LCM(3239,3243) = 10504077
Factors of 3239
List of positive integer factors of 3239 that divides 3239 without a remainder.
1, 41, 79, 3239
Factors of 3243
List of positive integer factors of 3243 that divides 3243 without a remainder.
1, 3, 23, 47, 69, 141, 1081, 3243
Least Common Multiple of 3239 and 3243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3239 and 3243, than apply into the LCM equation.
GCF(3239,3243) = 1
LCM(3239,3243) = ( 3239 × 3243) / 1
LCM(3239,3243) = 10504077 / 1
LCM(3239,3243) = 10504077
Properties of LCM 3239 and 3243
(i) The LCM of 3243 and 3239 is associative
LCM of 3239 and 3243 = LCM of 3243 and 3239
Related Least Common Multiples of 3239
Related Least Common Multiples of 3243
Frequently Asked Questions on LCM of 3239 and 3243
1. What is the LCM of 3239 and 3243?
Answer: LCM of 3239 and 3243 is 10504077.
2. What are the Factors of 3239?
Answer: Factors of 3239 are 1, 41, 79, 3239. There are 4 integers that are factors of 3239. The greatest factor of 3239 is 3239.
3. 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.
4. How to Find the LCM of 3239 and 3243?
Answer:
Least Common Multiple of 3239 and 3243 = 10504077
Step 1: Find the prime factorization of 3239
3239 = 41 x 79
Step 2: Find the prime factorization of 3243
3243 = 3 x 23 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10504077 = 3 x 23 x 41 x 47 x 79
Step 4: Therefore, the least common multiple of 3239 and 3243 is 10504077.