Least Common Multiple of 3230 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 3230 and 3237 the smallest integer that is 10455510 that is divisible by both numbers.
Least Common Multiple (LCM) of 3230 and 3237 is 10455510.
LCM(3230,3237) = 10455510
LCM of 3230 and 3237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3230 and 3237 by Prime method
- Least Common Multiple of 3230 and 3237 with GCF Formula
LCM of 3230 and 3237 is 10455510
Least common multiple can be found by multiplying the highest exponent prime factors of 3230 and 3237. First we will calculate the prime factors of 3230 and 3237.
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 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 3230 and 3237.
LCM(3230,3237) = 21×31×51×131×171×191×831
LCM(3230,3237) = 10455510
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 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 3230 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 3230 and 3237, than apply into the LCM equation.
GCF(3230,3237) = 1
LCM(3230,3237) = ( 3230 × 3237) / 1
LCM(3230,3237) = 10455510 / 1
LCM(3230,3237) = 10455510
Properties of LCM 3230 and 3237
(i) The LCM of 3237 and 3230 is associative
LCM of 3230 and 3237 = LCM of 3237 and 3230
Related Least Common Multiples of 3230
Related Least Common Multiples of 3237
Frequently Asked Questions on LCM of 3230 and 3237
1. What is the LCM of 3230 and 3237?
Answer: LCM of 3230 and 3237 is 10455510.
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 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 3230 and 3237?
Answer:
Least Common Multiple of 3230 and 3237 = 10455510
Step 1: Find the prime factorization of 3230
3230 = 2 x 5 x 17 x 19
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 = 10455510 = 2 x 3 x 5 x 13 x 17 x 19 x 83
Step 4: Therefore, the least common multiple of 3230 and 3237 is 10455510.