Least Common Multiple of 3223 and 3230
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3223 and 3230 the smallest integer that is 10410290 that is divisible by both numbers.
Least Common Multiple (LCM) of 3223 and 3230 is 10410290.
LCM(3223,3230) = 10410290
LCM of 3223 and 3230
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3223 and 3230 by Prime method
- Least Common Multiple of 3223 and 3230 with GCF Formula
LCM of 3223 and 3230 is 10410290
Least common multiple can be found by multiplying the highest exponent prime factors of 3223 and 3230. First we will calculate the prime factors of 3223 and 3230.
Prime Factorization of 3223
| 11 | 3223 |
| 293 | 293 |
| 1 |
Prime factors of 3223 are 11,293. Prime factorization of 3223 in exponential form is:
3223 = 111×2931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3223 and 3230.
LCM(3223,3230) = 21×51×111×171×191×2931
LCM(3223,3230) = 10410290
Factors of 3223
List of positive integer factors of 3223 that divides 3223 without a remainder.
1, 11, 293, 3223
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
Least Common Multiple of 3223 and 3230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3223 and 3230, than apply into the LCM equation.
GCF(3223,3230) = 1
LCM(3223,3230) = ( 3223 × 3230) / 1
LCM(3223,3230) = 10410290 / 1
LCM(3223,3230) = 10410290
Properties of LCM 3223 and 3230
(i) The LCM of 3230 and 3223 is associative
LCM of 3223 and 3230 = LCM of 3230 and 3223
Related Least Common Multiples of 3223
Related Least Common Multiples of 3230
Frequently Asked Questions on LCM of 3223 and 3230
1. What is the LCM of 3223 and 3230?
Answer: LCM of 3223 and 3230 is 10410290.
2. What are the Factors of 3223?
Answer: Factors of 3223 are 1, 11, 293, 3223. There are 4 integers that are factors of 3223. The greatest factor of 3223 is 3223.
3. 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.
4. How to Find the LCM of 3223 and 3230?
Answer:
Least Common Multiple of 3223 and 3230 = 10410290
Step 1: Find the prime factorization of 3223
3223 = 11 x 293
Step 2: Find the prime factorization of 3230
3230 = 2 x 5 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10410290 = 2 x 5 x 11 x 17 x 19 x 293
Step 4: Therefore, the least common multiple of 3223 and 3230 is 10410290.