Least Common Multiple of 3230 and 3235
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3230 and 3235 the smallest integer that is 2089810 that is divisible by both numbers.
Least Common Multiple (LCM) of 3230 and 3235 is 2089810.
LCM(3230,3235) = 2089810
LCM of 3230 and 3235
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3230 and 3235 by Prime method
- Least Common Multiple of 3230 and 3235 with GCF Formula
LCM of 3230 and 3235 is 2089810
Least common multiple can be found by multiplying the highest exponent prime factors of 3230 and 3235. First we will calculate the prime factors of 3230 and 3235.
Prime Factorization of 3230
| 2 | 3230 |
| 5 | 1615 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 3230 are 2, 5, 17,19. Prime factorization of 3230 in exponential form is:
3230 = 21×51×171×191
Prime Factorization of 3235
| 5 | 3235 |
| 647 | 647 |
| 1 |
Prime factors of 3235 are 5,647. Prime factorization of 3235 in exponential form is:
3235 = 51×6471
Now multiplying the highest exponent prime factors to calculate the LCM of 3230 and 3235.
LCM(3230,3235) = 21×51×171×191×6471
LCM(3230,3235) = 2089810
Factors of 3230
List of positive integer factors of 3230 that divides 3230 without a remainder.
1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230
Factors of 3235
List of positive integer factors of 3235 that divides 3235 without a remainder.
1, 5, 647, 3235
Least Common Multiple of 3230 and 3235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3230 and 3235, than apply into the LCM equation.
GCF(3230,3235) = 5
LCM(3230,3235) = ( 3230 × 3235) / 5
LCM(3230,3235) = 10449050 / 5
LCM(3230,3235) = 2089810
Properties of LCM 3230 and 3235
(i) The LCM of 3235 and 3230 is associative
LCM of 3230 and 3235 = LCM of 3235 and 3230
Related Least Common Multiples of 3230
Related Least Common Multiples of 3235
Frequently Asked Questions on LCM of 3230 and 3235
1. What is the LCM of 3230 and 3235?
Answer: LCM of 3230 and 3235 is 2089810.
2. What are the Factors of 3230?
Answer: Factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230. There are 16 integers that are factors of 3230. The greatest factor of 3230 is 3230.
3. What are the Factors of 3235?
Answer: Factors of 3235 are 1, 5, 647, 3235. There are 4 integers that are factors of 3235. The greatest factor of 3235 is 3235.
4. How to Find the LCM of 3230 and 3235?
Answer:
Least Common Multiple of 3230 and 3235 = 2089810
Step 1: Find the prime factorization of 3230
3230 = 2 x 5 x 17 x 19
Step 2: Find the prime factorization of 3235
3235 = 5 x 647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2089810 = 2 x 5 x 17 x 19 x 647
Step 4: Therefore, the least common multiple of 3230 and 3235 is 2089810.