Least Common Multiple of 3283 and 3288

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 3288 the smallest integer that is 10794504 that is divisible by both numbers.

Least Common Multiple (LCM) of 3283 and 3288 is 10794504.

LCM(3283,3288) = 10794504

LCM of 3283 and 3288

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

LCM of:
and

Least Common Multiple of 3283 and 3288

LCM of 3283 and 3288 is 10794504

Least common multiple can be found by multiplying the highest exponent prime factors of 3283 and 3288. First we will calculate the prime factors of 3283 and 3288.

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 3288


2 3288
2 1644
2 822
3 411
137 137
1

Prime factors of 3288 are 2, 3,137. Prime factorization of 3288 in exponential form is:

3288 = 23×31×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3283 and 3288.

LCM(3283,3288) = 23×31×72×671×1371
LCM(3283,3288) = 10794504

Factors of 3283

List of positive integer factors of 3283 that divides 3283 without a remainder.

1, 7, 49, 67, 469, 3283

Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288

Least Common Multiple of 3283 and 3288 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 3288, than apply into the LCM equation.

GCF(3283,3288) = 1
LCM(3283,3288) = ( 3283 × 3288) / 1
LCM(3283,3288) = 10794504 / 1
LCM(3283,3288) = 10794504

Properties of LCM 3283 and 3288

(i) The LCM of 3288 and 3283 is associative

LCM of 3283 and 3288 = LCM of 3288 and 3283

Related Least Common Multiples of 3283

Related Least Common Multiples of 3288

Frequently Asked Questions on LCM of 3283 and 3288

1. What is the LCM of 3283 and 3288?

Answer: LCM of 3283 and 3288 is 10794504.

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 3288?

Answer: Factors of 3288 are 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288. There are 16 integers that are factors of 3288. The greatest factor of 3288 is 3288.

4. How to Find the LCM of 3283 and 3288?

Answer:

Least Common Multiple of 3283 and 3288 = 10794504

Step 1: Find the prime factorization of 3283

3283 = 7 x 7 x 67

Step 2: Find the prime factorization of 3288

3288 = 2 x 2 x 2 x 3 x 137

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10794504 = 2 x 2 x 2 x 3 x 7 x 7 x 67 x 137

Step 4: Therefore, the least common multiple of 3283 and 3288 is 10794504.