Least Common Multiple of 3235 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 3235 and 3243 the smallest integer that is 10491105 that is divisible by both numbers.
Least Common Multiple (LCM) of 3235 and 3243 is 10491105.
LCM(3235,3243) = 10491105
LCM of 3235 and 3243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3235 and 3243 by Prime method
- Least Common Multiple of 3235 and 3243 with GCF Formula
LCM of 3235 and 3243 is 10491105
Least common multiple can be found by multiplying the highest exponent prime factors of 3235 and 3243. First we will calculate the prime factors of 3235 and 3243.
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
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 3235 and 3243.
LCM(3235,3243) = 31×51×231×471×6471
LCM(3235,3243) = 10491105
Factors of 3235
List of positive integer factors of 3235 that divides 3235 without a remainder.
1, 5, 647, 3235
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 3235 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 3235 and 3243, than apply into the LCM equation.
GCF(3235,3243) = 1
LCM(3235,3243) = ( 3235 × 3243) / 1
LCM(3235,3243) = 10491105 / 1
LCM(3235,3243) = 10491105
Properties of LCM 3235 and 3243
(i) The LCM of 3243 and 3235 is associative
LCM of 3235 and 3243 = LCM of 3243 and 3235
Related Least Common Multiples of 3235
Related Least Common Multiples of 3243
Frequently Asked Questions on LCM of 3235 and 3243
1. What is the LCM of 3235 and 3243?
Answer: LCM of 3235 and 3243 is 10491105.
2. 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.
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 3235 and 3243?
Answer:
Least Common Multiple of 3235 and 3243 = 10491105
Step 1: Find the prime factorization of 3235
3235 = 5 x 647
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 = 10491105 = 3 x 5 x 23 x 47 x 647
Step 4: Therefore, the least common multiple of 3235 and 3243 is 10491105.