Least Common Multiple of 3263 and 3268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3263 and 3268 the smallest integer that is 10663484 that is divisible by both numbers.

Least Common Multiple (LCM) of 3263 and 3268 is 10663484.

LCM(3263,3268) = 10663484

LCM of 3263 and 3268

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

LCM of:
and

Least Common Multiple of 3263 and 3268

LCM of 3263 and 3268 is 10663484

Least common multiple can be found by multiplying the highest exponent prime factors of 3263 and 3268. First we will calculate the prime factors of 3263 and 3268.

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

Prime Factorization of 3268


2 3268
2 1634
19 817
43 43
1

Prime factors of 3268 are 2, 19,43. Prime factorization of 3268 in exponential form is:

3268 = 22×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3263 and 3268.

LCM(3263,3268) = 22×131×191×431×2511
LCM(3263,3268) = 10663484

Factors of 3263

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

1, 13, 251, 3263

Factors of 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268

Least Common Multiple of 3263 and 3268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3263 and 3268, than apply into the LCM equation.

GCF(3263,3268) = 1
LCM(3263,3268) = ( 3263 × 3268) / 1
LCM(3263,3268) = 10663484 / 1
LCM(3263,3268) = 10663484

Properties of LCM 3263 and 3268

(i) The LCM of 3268 and 3263 is associative

LCM of 3263 and 3268 = LCM of 3268 and 3263

Related Least Common Multiples of 3263

Related Least Common Multiples of 3268

Frequently Asked Questions on LCM of 3263 and 3268

1. What is the LCM of 3263 and 3268?

Answer: LCM of 3263 and 3268 is 10663484.

2. 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.

3. What are the Factors of 3268?

Answer: Factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268. There are 12 integers that are factors of 3268. The greatest factor of 3268 is 3268.

4. How to Find the LCM of 3263 and 3268?

Answer:

Least Common Multiple of 3263 and 3268 = 10663484

Step 1: Find the prime factorization of 3263

3263 = 13 x 251

Step 2: Find the prime factorization of 3268

3268 = 2 x 2 x 19 x 43

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

LCM = 10663484 = 2 x 2 x 13 x 19 x 43 x 251

Step 4: Therefore, the least common multiple of 3263 and 3268 is 10663484.