Least Common Multiple of 3233 and 3239
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3233 and 3239 the smallest integer that is 10471687 that is divisible by both numbers.
Least Common Multiple (LCM) of 3233 and 3239 is 10471687.
LCM(3233,3239) = 10471687
LCM of 3233 and 3239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3233 and 3239 by Prime method
- Least Common Multiple of 3233 and 3239 with GCF Formula
LCM of 3233 and 3239 is 10471687
Least common multiple can be found by multiplying the highest exponent prime factors of 3233 and 3239. First we will calculate the prime factors of 3233 and 3239.
Prime Factorization of 3233
| 53 | 3233 |
| 61 | 61 |
| 1 |
Prime factors of 3233 are 53,61. Prime factorization of 3233 in exponential form is:
3233 = 531×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3233 and 3239.
LCM(3233,3239) = 411×531×611×791
LCM(3233,3239) = 10471687
Factors of 3233
List of positive integer factors of 3233 that divides 3233 without a remainder.
1, 53, 61, 3233
Factors of 3239
List of positive integer factors of 3239 that divides 3239 without a remainder.
1, 41, 79, 3239
Least Common Multiple of 3233 and 3239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3233 and 3239, than apply into the LCM equation.
GCF(3233,3239) = 1
LCM(3233,3239) = ( 3233 × 3239) / 1
LCM(3233,3239) = 10471687 / 1
LCM(3233,3239) = 10471687
Properties of LCM 3233 and 3239
(i) The LCM of 3239 and 3233 is associative
LCM of 3233 and 3239 = LCM of 3239 and 3233
Related Least Common Multiples of 3233
Related Least Common Multiples of 3239
Frequently Asked Questions on LCM of 3233 and 3239
1. What is the LCM of 3233 and 3239?
Answer: LCM of 3233 and 3239 is 10471687.
2. What are the Factors of 3233?
Answer: Factors of 3233 are 1, 53, 61, 3233. There are 4 integers that are factors of 3233. The greatest factor of 3233 is 3233.
3. 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.
4. How to Find the LCM of 3233 and 3239?
Answer:
Least Common Multiple of 3233 and 3239 = 10471687
Step 1: Find the prime factorization of 3233
3233 = 53 x 61
Step 2: Find the prime factorization of 3239
3239 = 41 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10471687 = 41 x 53 x 61 x 79
Step 4: Therefore, the least common multiple of 3233 and 3239 is 10471687.