Least Common Multiple of 3285 and 3287
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3285 and 3287 the smallest integer that is 10797795 that is divisible by both numbers.
Least Common Multiple (LCM) of 3285 and 3287 is 10797795.
LCM(3285,3287) = 10797795
LCM of 3285 and 3287
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3285 and 3287 by Prime method
- Least Common Multiple of 3285 and 3287 with GCF Formula
LCM of 3285 and 3287 is 10797795
Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3287. First we will calculate the prime factors of 3285 and 3287.
Prime Factorization of 3285
| 3 | 3285 |
| 3 | 1095 |
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 3285 are 3, 5,73. Prime factorization of 3285 in exponential form is:
3285 = 32×51×731
Prime Factorization of 3287
| 19 | 3287 |
| 173 | 173 |
| 1 |
Prime factors of 3287 are 19,173. Prime factorization of 3287 in exponential form is:
3287 = 191×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3287.
LCM(3285,3287) = 32×51×191×731×1731
LCM(3285,3287) = 10797795
Factors of 3285
List of positive integer factors of 3285 that divides 3285 without a remainder.
1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285
Factors of 3287
List of positive integer factors of 3287 that divides 3287 without a remainder.
1, 19, 173, 3287
Least Common Multiple of 3285 and 3287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3285 and 3287, than apply into the LCM equation.
GCF(3285,3287) = 1
LCM(3285,3287) = ( 3285 × 3287) / 1
LCM(3285,3287) = 10797795 / 1
LCM(3285,3287) = 10797795
Properties of LCM 3285 and 3287
(i) The LCM of 3287 and 3285 is associative
LCM of 3285 and 3287 = LCM of 3287 and 3285
Related Least Common Multiples of 3285
Related Least Common Multiples of 3287
Frequently Asked Questions on LCM of 3285 and 3287
1. What is the LCM of 3285 and 3287?
Answer: LCM of 3285 and 3287 is 10797795.
2. What are the Factors of 3285?
Answer: Factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285. There are 12 integers that are factors of 3285. The greatest factor of 3285 is 3285.
3. What are the Factors of 3287?
Answer: Factors of 3287 are 1, 19, 173, 3287. There are 4 integers that are factors of 3287. The greatest factor of 3287 is 3287.
4. How to Find the LCM of 3285 and 3287?
Answer:
Least Common Multiple of 3285 and 3287 = 10797795
Step 1: Find the prime factorization of 3285
3285 = 3 x 3 x 5 x 73
Step 2: Find the prime factorization of 3287
3287 = 19 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10797795 = 3 x 3 x 5 x 19 x 73 x 173
Step 4: Therefore, the least common multiple of 3285 and 3287 is 10797795.