Least Common Multiple of 3275 and 3281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3275 and 3281 the smallest integer that is 10745275 that is divisible by both numbers.

Least Common Multiple (LCM) of 3275 and 3281 is 10745275.

LCM(3275,3281) = 10745275

LCM of 3275 and 3281

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

LCM of:
and

Least Common Multiple of 3275 and 3281

LCM of 3275 and 3281 is 10745275

Least common multiple can be found by multiplying the highest exponent prime factors of 3275 and 3281. First we will calculate the prime factors of 3275 and 3281.

Prime Factorization of 3275


5 3275
5 655
131 131
1

Prime factors of 3275 are 5,131. Prime factorization of 3275 in exponential form is:

3275 = 52×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3281.

LCM(3275,3281) = 52×171×1311×1931
LCM(3275,3281) = 10745275

Factors of 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1, 5, 25, 131, 655, 3275

Factors of 3281

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

1, 17, 193, 3281

Least Common Multiple of 3275 and 3281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3281, than apply into the LCM equation.

GCF(3275,3281) = 1
LCM(3275,3281) = ( 3275 × 3281) / 1
LCM(3275,3281) = 10745275 / 1
LCM(3275,3281) = 10745275

Properties of LCM 3275 and 3281

(i) The LCM of 3281 and 3275 is associative

LCM of 3275 and 3281 = LCM of 3281 and 3275

Related Least Common Multiples of 3275

Related Least Common Multiples of 3281

Frequently Asked Questions on LCM of 3275 and 3281

1. What is the LCM of 3275 and 3281?

Answer: LCM of 3275 and 3281 is 10745275.

2. What are the Factors of 3275?

Answer: Factors of 3275 are 1, 5, 25, 131, 655, 3275. There are 6 integers that are factors of 3275. The greatest factor of 3275 is 3275.

3. 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.

4. How to Find the LCM of 3275 and 3281?

Answer:

Least Common Multiple of 3275 and 3281 = 10745275

Step 1: Find the prime factorization of 3275

3275 = 5 x 5 x 131

Step 2: Find the prime factorization of 3281

3281 = 17 x 193

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

LCM = 10745275 = 5 x 5 x 17 x 131 x 193

Step 4: Therefore, the least common multiple of 3275 and 3281 is 10745275.