Least Common Multiple of 3283 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 3283 and 3287 the smallest integer that is 10791221 that is divisible by both numbers.
Least Common Multiple (LCM) of 3283 and 3287 is 10791221.
LCM(3283,3287) = 10791221
LCM of 3283 and 3287
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3283 and 3287 by Prime method
- Least Common Multiple of 3283 and 3287 with GCF Formula
LCM of 3283 and 3287 is 10791221
Least common multiple can be found by multiplying the highest exponent prime factors of 3283 and 3287. First we will calculate the prime factors of 3283 and 3287.
Prime Factorization of 3283
| 7 | 3283 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 3283 are 7,67. Prime factorization of 3283 in exponential form is:
3283 = 72×671
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 3283 and 3287.
LCM(3283,3287) = 72×191×671×1731
LCM(3283,3287) = 10791221
Factors of 3283
List of positive integer factors of 3283 that divides 3283 without a remainder.
1, 7, 49, 67, 469, 3283
Factors of 3287
List of positive integer factors of 3287 that divides 3287 without a remainder.
1, 19, 173, 3287
Least Common Multiple of 3283 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 3283 and 3287, than apply into the LCM equation.
GCF(3283,3287) = 1
LCM(3283,3287) = ( 3283 × 3287) / 1
LCM(3283,3287) = 10791221 / 1
LCM(3283,3287) = 10791221
Properties of LCM 3283 and 3287
(i) The LCM of 3287 and 3283 is associative
LCM of 3283 and 3287 = LCM of 3287 and 3283
Related Least Common Multiples of 3283
Related Least Common Multiples of 3287
Frequently Asked Questions on LCM of 3283 and 3287
1. What is the LCM of 3283 and 3287?
Answer: LCM of 3283 and 3287 is 10791221.
2. What are the Factors of 3283?
Answer: Factors of 3283 are 1, 7, 49, 67, 469, 3283. There are 6 integers that are factors of 3283. The greatest factor of 3283 is 3283.
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 3283 and 3287?
Answer:
Least Common Multiple of 3283 and 3287 = 10791221
Step 1: Find the prime factorization of 3283
3283 = 7 x 7 x 67
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 = 10791221 = 7 x 7 x 19 x 67 x 173
Step 4: Therefore, the least common multiple of 3283 and 3287 is 10791221.