Least Common Multiple of 3233 and 3234
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 3234 the smallest integer that is 10455522 that is divisible by both numbers.
Least Common Multiple (LCM) of 3233 and 3234 is 10455522.
LCM(3233,3234) = 10455522
LCM of 3233 and 3234
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3233 and 3234 by Prime method
- Least Common Multiple of 3233 and 3234 with GCF Formula
LCM of 3233 and 3234 is 10455522
Least common multiple can be found by multiplying the highest exponent prime factors of 3233 and 3234. First we will calculate the prime factors of 3233 and 3234.
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 3234
| 2 | 3234 |
| 3 | 1617 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 3234 are 2, 3, 7,11. Prime factorization of 3234 in exponential form is:
3234 = 21×31×72×111
Now multiplying the highest exponent prime factors to calculate the LCM of 3233 and 3234.
LCM(3233,3234) = 21×31×72×111×531×611
LCM(3233,3234) = 10455522
Factors of 3233
List of positive integer factors of 3233 that divides 3233 without a remainder.
1, 53, 61, 3233
Factors of 3234
List of positive integer factors of 3234 that divides 3234 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
Least Common Multiple of 3233 and 3234 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 3234, than apply into the LCM equation.
GCF(3233,3234) = 1
LCM(3233,3234) = ( 3233 × 3234) / 1
LCM(3233,3234) = 10455522 / 1
LCM(3233,3234) = 10455522
Properties of LCM 3233 and 3234
(i) The LCM of 3234 and 3233 is associative
LCM of 3233 and 3234 = LCM of 3234 and 3233
Related Least Common Multiples of 3233
Related Least Common Multiples of 3234
Frequently Asked Questions on LCM of 3233 and 3234
1. What is the LCM of 3233 and 3234?
Answer: LCM of 3233 and 3234 is 10455522.
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 3234?
Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.
4. How to Find the LCM of 3233 and 3234?
Answer:
Least Common Multiple of 3233 and 3234 = 10455522
Step 1: Find the prime factorization of 3233
3233 = 53 x 61
Step 2: Find the prime factorization of 3234
3234 = 2 x 3 x 7 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10455522 = 2 x 3 x 7 x 7 x 11 x 53 x 61
Step 4: Therefore, the least common multiple of 3233 and 3234 is 10455522.