Least Common Multiple of 3256 and 3263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3256 and 3263 the smallest integer that is 10624328 that is divisible by both numbers.

Least Common Multiple (LCM) of 3256 and 3263 is 10624328.

LCM(3256,3263) = 10624328

LCM of 3256 and 3263

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

LCM of:
and

Least Common Multiple of 3256 and 3263

LCM of 3256 and 3263 is 10624328

Least common multiple can be found by multiplying the highest exponent prime factors of 3256 and 3263. First we will calculate the prime factors of 3256 and 3263.

Prime Factorization of 3256


2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 3256 are 2, 11,37. Prime factorization of 3256 in exponential form is:

3256 = 23×111×371

Prime Factorization of 3263


13 3263
251 251
1

Prime factors of 3263 are 13,251. Prime factorization of 3263 in exponential form is:

3263 = 131×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 3256 and 3263.

LCM(3256,3263) = 23×111×131×371×2511
LCM(3256,3263) = 10624328

Factors of 3256

List of positive integer factors of 3256 that divides 3256 without a remainder.

1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256

Factors of 3263

List of positive integer factors of 3263 that divides 3263 without a remainder.

1, 13, 251, 3263

Least Common Multiple of 3256 and 3263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3256 and 3263, than apply into the LCM equation.

GCF(3256,3263) = 1
LCM(3256,3263) = ( 3256 × 3263) / 1
LCM(3256,3263) = 10624328 / 1
LCM(3256,3263) = 10624328

Properties of LCM 3256 and 3263

(i) The LCM of 3263 and 3256 is associative

LCM of 3256 and 3263 = LCM of 3263 and 3256

Related Least Common Multiples of 3256

Related Least Common Multiples of 3263

Frequently Asked Questions on LCM of 3256 and 3263

1. What is the LCM of 3256 and 3263?

Answer: LCM of 3256 and 3263 is 10624328.

2. What are the Factors of 3256?

Answer: Factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256. There are 16 integers that are factors of 3256. The greatest factor of 3256 is 3256.

3. What are the Factors of 3263?

Answer: Factors of 3263 are 1, 13, 251, 3263. There are 4 integers that are factors of 3263. The greatest factor of 3263 is 3263.

4. How to Find the LCM of 3256 and 3263?

Answer:

Least Common Multiple of 3256 and 3263 = 10624328

Step 1: Find the prime factorization of 3256

3256 = 2 x 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 3263

3263 = 13 x 251

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

LCM = 10624328 = 2 x 2 x 2 x 11 x 13 x 37 x 251

Step 4: Therefore, the least common multiple of 3256 and 3263 is 10624328.