Least Common Multiple of 3237 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 3237 and 3243 the smallest integer that is 3499197 that is divisible by both numbers.
Least Common Multiple (LCM) of 3237 and 3243 is 3499197.
LCM(3237,3243) = 3499197
LCM of 3237 and 3243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3237 and 3243 by Prime method
- Least Common Multiple of 3237 and 3243 with GCF Formula
LCM of 3237 and 3243 is 3499197
Least common multiple can be found by multiplying the highest exponent prime factors of 3237 and 3243. First we will calculate the prime factors of 3237 and 3243.
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
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 3237 and 3243.
LCM(3237,3243) = 31×131×231×471×831
LCM(3237,3243) = 3499197
Factors of 3237
List of positive integer factors of 3237 that divides 3237 without a remainder.
1, 3, 13, 39, 83, 249, 1079, 3237
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 3237 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 3237 and 3243, than apply into the LCM equation.
GCF(3237,3243) = 3
LCM(3237,3243) = ( 3237 × 3243) / 3
LCM(3237,3243) = 10497591 / 3
LCM(3237,3243) = 3499197
Properties of LCM 3237 and 3243
(i) The LCM of 3243 and 3237 is associative
LCM of 3237 and 3243 = LCM of 3243 and 3237
Related Least Common Multiples of 3237
Related Least Common Multiples of 3243
Frequently Asked Questions on LCM of 3237 and 3243
1. What is the LCM of 3237 and 3243?
Answer: LCM of 3237 and 3243 is 3499197.
2. 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.
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 3237 and 3243?
Answer:
Least Common Multiple of 3237 and 3243 = 3499197
Step 1: Find the prime factorization of 3237
3237 = 3 x 13 x 83
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 = 3499197 = 3 x 13 x 23 x 47 x 83
Step 4: Therefore, the least common multiple of 3237 and 3243 is 3499197.