Least Common Multiple of 3249 and 3255
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3249 and 3255 the smallest integer that is 3525165 that is divisible by both numbers.
Least Common Multiple (LCM) of 3249 and 3255 is 3525165.
LCM(3249,3255) = 3525165
LCM of 3249 and 3255
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3249 and 3255 by Prime method
- Least Common Multiple of 3249 and 3255 with GCF Formula
LCM of 3249 and 3255 is 3525165
Least common multiple can be found by multiplying the highest exponent prime factors of 3249 and 3255. First we will calculate the prime factors of 3249 and 3255.
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
Prime Factorization of 3255
| 3 | 3255 |
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 3255 are 3, 5, 7,31. Prime factorization of 3255 in exponential form is:
3255 = 31×51×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3249 and 3255.
LCM(3249,3255) = 32×51×71×192×311
LCM(3249,3255) = 3525165
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
Factors of 3255
List of positive integer factors of 3255 that divides 3255 without a remainder.
1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255
Least Common Multiple of 3249 and 3255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3249 and 3255, than apply into the LCM equation.
GCF(3249,3255) = 3
LCM(3249,3255) = ( 3249 × 3255) / 3
LCM(3249,3255) = 10575495 / 3
LCM(3249,3255) = 3525165
Properties of LCM 3249 and 3255
(i) The LCM of 3255 and 3249 is associative
LCM of 3249 and 3255 = LCM of 3255 and 3249
Related Least Common Multiples of 3249
Related Least Common Multiples of 3255
Frequently Asked Questions on LCM of 3249 and 3255
1. What is the LCM of 3249 and 3255?
Answer: LCM of 3249 and 3255 is 3525165.
2. 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.
3. What are the Factors of 3255?
Answer: Factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255. There are 16 integers that are factors of 3255. The greatest factor of 3255 is 3255.
4. How to Find the LCM of 3249 and 3255?
Answer:
Least Common Multiple of 3249 and 3255 = 3525165
Step 1: Find the prime factorization of 3249
3249 = 3 x 3 x 19 x 19
Step 2: Find the prime factorization of 3255
3255 = 3 x 5 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3525165 = 3 x 3 x 5 x 7 x 19 x 19 x 31
Step 4: Therefore, the least common multiple of 3249 and 3255 is 3525165.