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 3284 the smallest integer that is 10781372 that is divisible by both numbers.
Least Common Multiple (LCM) of 3283 and 3284 is 10781372.
LCM(3283,3284) = 10781372
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3283 and 3284. First we will calculate the prime factors of 3283 and 3284.
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 3284
2 | 3284 |
2 | 1642 |
821 | 821 |
1 |
Prime factors of 3284 are 2,821. Prime factorization of 3284 in exponential form is:
3284 = 22×8211
Now multiplying the highest exponent prime factors to calculate the LCM of 3283 and 3284.
LCM(3283,3284) = 22×72×671×8211
LCM(3283,3284) = 10781372
Factors of 3283
List of positive integer factors of 3283 that divides 3283 without a remainder.
1, 7, 49, 67, 469, 3283
Factors of 3284
List of positive integer factors of 3284 that divides 3284 without a remainder.
1, 2, 4, 821, 1642, 3284
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3283 and 3284, than apply into the LCM equation.
GCF(3283,3284) = 1
LCM(3283,3284) = ( 3283 × 3284) / 1
LCM(3283,3284) = 10781372 / 1
LCM(3283,3284) = 10781372
(i) The LCM of 3284 and 3283 is associative
LCM of 3283 and 3284 = LCM of 3284 and 3283
1. What is the LCM of 3283 and 3284?
Answer: LCM of 3283 and 3284 is 10781372.
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 3284?
Answer: Factors of 3284 are 1, 2, 4, 821, 1642, 3284. There are 6 integers that are factors of 3284. The greatest factor of 3284 is 3284.
4. How to Find the LCM of 3283 and 3284?
Answer:
Least Common Multiple of 3283 and 3284 = 10781372
Step 1: Find the prime factorization of 3283
3283 = 7 x 7 x 67
Step 2: Find the prime factorization of 3284
3284 = 2 x 2 x 821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10781372 = 2 x 2 x 7 x 7 x 67 x 821
Step 4: Therefore, the least common multiple of 3283 and 3284 is 10781372.