Least Common Multiple of 3246 and 3249
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3246 and 3249 the smallest integer that is 3515418 that is divisible by both numbers.
Least Common Multiple (LCM) of 3246 and 3249 is 3515418.
LCM(3246,3249) = 3515418
LCM of 3246 and 3249
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3246 and 3249 by Prime method
- Least Common Multiple of 3246 and 3249 with GCF Formula
LCM of 3246 and 3249 is 3515418
Least common multiple can be found by multiplying the highest exponent prime factors of 3246 and 3249. First we will calculate the prime factors of 3246 and 3249.
Prime Factorization of 3246
| 2 | 3246 |
| 3 | 1623 |
| 541 | 541 |
| 1 |
Prime factors of 3246 are 2, 3,541. Prime factorization of 3246 in exponential form is:
3246 = 21×31×5411
Prime Factorization of 3249
| 3 | 3249 |
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3249 are 3,19. Prime factorization of 3249 in exponential form is:
3249 = 32×192
Now multiplying the highest exponent prime factors to calculate the LCM of 3246 and 3249.
LCM(3246,3249) = 21×32×192×5411
LCM(3246,3249) = 3515418
Factors of 3246
List of positive integer factors of 3246 that divides 3246 without a remainder.
1, 2, 3, 6, 541, 1082, 1623, 3246
Factors of 3249
List of positive integer factors of 3249 that divides 3249 without a remainder.
1, 3, 9, 19, 57, 171, 361, 1083, 3249
Least Common Multiple of 3246 and 3249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3246 and 3249, than apply into the LCM equation.
GCF(3246,3249) = 3
LCM(3246,3249) = ( 3246 × 3249) / 3
LCM(3246,3249) = 10546254 / 3
LCM(3246,3249) = 3515418
Properties of LCM 3246 and 3249
(i) The LCM of 3249 and 3246 is associative
LCM of 3246 and 3249 = LCM of 3249 and 3246
Related Least Common Multiples of 3246
Related Least Common Multiples of 3249
Frequently Asked Questions on LCM of 3246 and 3249
1. What is the LCM of 3246 and 3249?
Answer: LCM of 3246 and 3249 is 3515418.
2. What are the Factors of 3246?
Answer: Factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246. There are 8 integers that are factors of 3246. The greatest factor of 3246 is 3246.
3. What are the Factors of 3249?
Answer: Factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249. There are 9 integers that are factors of 3249. The greatest factor of 3249 is 3249.
4. How to Find the LCM of 3246 and 3249?
Answer:
Least Common Multiple of 3246 and 3249 = 3515418
Step 1: Find the prime factorization of 3246
3246 = 2 x 3 x 541
Step 2: Find the prime factorization of 3249
3249 = 3 x 3 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3515418 = 2 x 3 x 3 x 19 x 19 x 541
Step 4: Therefore, the least common multiple of 3246 and 3249 is 3515418.