Least Common Multiple of 3283 and 3284

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

LCM of 3283 and 3284

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3283 and 3284

LCM of 3283 and 3284 is 10781372

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

Least Common Multiple of 3283 and 3284 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 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

Properties of LCM 3283 and 3284

(i) The LCM of 3284 and 3283 is associative

LCM of 3283 and 3284 = LCM of 3284 and 3283

Frequently Asked Questions on LCM of 3283 and 3284

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.