Least Common Multiple of 3263 and 3271

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 3271 the smallest integer that is 10673273 that is divisible by both numbers.

Least Common Multiple (LCM) of 3263 and 3271 is 10673273.

LCM(3263,3271) = 10673273

LCM of 3263 and 3271

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

LCM of:
and

Least Common Multiple of 3263 and 3271

LCM of 3263 and 3271 is 10673273

Least common multiple can be found by multiplying the highest exponent prime factors of 3263 and 3271. First we will calculate the prime factors of 3263 and 3271.

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 3271


3271 3271
1

Prime factors of 3271 are 3271. Prime factorization of 3271 in exponential form is:

3271 = 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 3263 and 3271.

LCM(3263,3271) = 131×2511×32711
LCM(3263,3271) = 10673273

Factors of 3263

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

1, 13, 251, 3263

Factors of 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1, 3271

Least Common Multiple of 3263 and 3271 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 3271, than apply into the LCM equation.

GCF(3263,3271) = 1
LCM(3263,3271) = ( 3263 × 3271) / 1
LCM(3263,3271) = 10673273 / 1
LCM(3263,3271) = 10673273

Properties of LCM 3263 and 3271

(i) The LCM of 3271 and 3263 is associative

LCM of 3263 and 3271 = LCM of 3271 and 3263

Related Least Common Multiples of 3263

Related Least Common Multiples of 3271

Frequently Asked Questions on LCM of 3263 and 3271

1. What is the LCM of 3263 and 3271?

Answer: LCM of 3263 and 3271 is 10673273.

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 3271?

Answer: Factors of 3271 are 1, 3271. There are 2 integers that are factors of 3271. The greatest factor of 3271 is 3271.

4. How to Find the LCM of 3263 and 3271?

Answer:

Least Common Multiple of 3263 and 3271 = 10673273

Step 1: Find the prime factorization of 3263

3263 = 13 x 251

Step 2: Find the prime factorization of 3271

3271 = 3271

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

LCM = 10673273 = 13 x 251 x 3271

Step 4: Therefore, the least common multiple of 3263 and 3271 is 10673273.