Least Common Multiple of 3233 and 3237
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 3237 the smallest integer that is 10465221 that is divisible by both numbers.
Least Common Multiple (LCM) of 3233 and 3237 is 10465221.
LCM(3233,3237) = 10465221
LCM of 3233 and 3237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3233 and 3237 by Prime method
- Least Common Multiple of 3233 and 3237 with GCF Formula
LCM of 3233 and 3237 is 10465221
Least common multiple can be found by multiplying the highest exponent prime factors of 3233 and 3237. First we will calculate the prime factors of 3233 and 3237.
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 3237
| 3 | 3237 |
| 13 | 1079 |
| 83 | 83 |
| 1 |
Prime factors of 3237 are 3, 13,83. Prime factorization of 3237 in exponential form is:
3237 = 31×131×831
Now multiplying the highest exponent prime factors to calculate the LCM of 3233 and 3237.
LCM(3233,3237) = 31×131×531×611×831
LCM(3233,3237) = 10465221
Factors of 3233
List of positive integer factors of 3233 that divides 3233 without a remainder.
1, 53, 61, 3233
Factors of 3237
List of positive integer factors of 3237 that divides 3237 without a remainder.
1, 3, 13, 39, 83, 249, 1079, 3237
Least Common Multiple of 3233 and 3237 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 3237, than apply into the LCM equation.
GCF(3233,3237) = 1
LCM(3233,3237) = ( 3233 × 3237) / 1
LCM(3233,3237) = 10465221 / 1
LCM(3233,3237) = 10465221
Properties of LCM 3233 and 3237
(i) The LCM of 3237 and 3233 is associative
LCM of 3233 and 3237 = LCM of 3237 and 3233
Related Least Common Multiples of 3233
Related Least Common Multiples of 3237
Frequently Asked Questions on LCM of 3233 and 3237
1. What is the LCM of 3233 and 3237?
Answer: LCM of 3233 and 3237 is 10465221.
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 3237?
Answer: Factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237. There are 8 integers that are factors of 3237. The greatest factor of 3237 is 3237.
4. How to Find the LCM of 3233 and 3237?
Answer:
Least Common Multiple of 3233 and 3237 = 10465221
Step 1: Find the prime factorization of 3233
3233 = 53 x 61
Step 2: Find the prime factorization of 3237
3237 = 3 x 13 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10465221 = 3 x 13 x 53 x 61 x 83
Step 4: Therefore, the least common multiple of 3233 and 3237 is 10465221.