Least Common Multiple of 3281 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 3281 and 3288 the smallest integer that is 10787928 that is divisible by both numbers.

Least Common Multiple (LCM) of 3281 and 3288 is 10787928.

LCM(3281,3288) = 10787928

LCM of 3281 and 3288

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

LCM of:
and

Least Common Multiple of 3281 and 3288

LCM of 3281 and 3288 is 10787928

Least common multiple can be found by multiplying the highest exponent prime factors of 3281 and 3288. First we will calculate the prime factors of 3281 and 3288.

Prime Factorization of 3281


17 3281
193 193
1

Prime factors of 3281 are 17,193. Prime factorization of 3281 in exponential form is:

3281 = 171×1931

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 3281 and 3288.

LCM(3281,3288) = 23×31×171×1371×1931
LCM(3281,3288) = 10787928

Factors of 3281

List of positive integer factors of 3281 that divides 3281 without a remainder.

1, 17, 193, 3281

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 3281 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 3281 and 3288, than apply into the LCM equation.

GCF(3281,3288) = 1
LCM(3281,3288) = ( 3281 × 3288) / 1
LCM(3281,3288) = 10787928 / 1
LCM(3281,3288) = 10787928

Properties of LCM 3281 and 3288

(i) The LCM of 3288 and 3281 is associative

LCM of 3281 and 3288 = LCM of 3288 and 3281

Related Least Common Multiples of 3281

Related Least Common Multiples of 3288

Frequently Asked Questions on LCM of 3281 and 3288

1. What is the LCM of 3281 and 3288?

Answer: LCM of 3281 and 3288 is 10787928.

2. What are the Factors of 3281?

Answer: Factors of 3281 are 1, 17, 193, 3281. There are 4 integers that are factors of 3281. The greatest factor of 3281 is 3281.

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 3281 and 3288?

Answer:

Least Common Multiple of 3281 and 3288 = 10787928

Step 1: Find the prime factorization of 3281

3281 = 17 x 193

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 = 10787928 = 2 x 2 x 2 x 3 x 17 x 137 x 193

Step 4: Therefore, the least common multiple of 3281 and 3288 is 10787928.