Least Common Multiple of 263 and 271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 263 and 271 the smallest integer that is 71273 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 271 is 71273.

LCM(263,271) = 71273

LCM of 263 and 271

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

LCM of:
and

Least Common Multiple of 263 and 271

LCM of 263 and 271 is 71273

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 271. First we will calculate the prime factors of 263 and 271.

Prime Factorization of 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

Prime Factorization of 271


271 271
1

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 271.

LCM(263,271) = 2631×2711
LCM(263,271) = 71273

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1, 271

Least Common Multiple of 263 and 271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 263 and 271, than apply into the LCM equation.

GCF(263,271) = 1
LCM(263,271) = ( 263 × 271) / 1
LCM(263,271) = 71273 / 1
LCM(263,271) = 71273

Properties of LCM 263 and 271

(i) The LCM of 271 and 263 is associative

LCM of 263 and 271 = LCM of 271 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 271

Frequently Asked Questions on LCM of 263 and 271

1. What is the LCM of 263 and 271?

Answer: LCM of 263 and 271 is 71273.

2. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

3. What are the Factors of 271?

Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.

4. How to Find the LCM of 263 and 271?

Answer:

Least Common Multiple of 263 and 271 = 71273

Step 1: Find the prime factorization of 263

263 = 263

Step 2: Find the prime factorization of 271

271 = 271

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

LCM = 71273 = 263 x 271

Step 4: Therefore, the least common multiple of 263 and 271 is 71273.