Least Common Multiple of 263 and 268

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 268 the smallest integer that is 70484 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 268 is 70484.

LCM(263,268) = 70484

LCM of 263 and 268

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

LCM of:
and

Least Common Multiple of 263 and 268

LCM of 263 and 268 is 70484

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 268. First we will calculate the prime factors of 263 and 268.

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 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 268.

LCM(263,268) = 22×671×2631
LCM(263,268) = 70484

Factors of 263

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

1, 263

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Least Common Multiple of 263 and 268 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 268, than apply into the LCM equation.

GCF(263,268) = 1
LCM(263,268) = ( 263 × 268) / 1
LCM(263,268) = 70484 / 1
LCM(263,268) = 70484

Properties of LCM 263 and 268

(i) The LCM of 268 and 263 is associative

LCM of 263 and 268 = LCM of 268 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 268

Frequently Asked Questions on LCM of 263 and 268

1. What is the LCM of 263 and 268?

Answer: LCM of 263 and 268 is 70484.

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 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

4. How to Find the LCM of 263 and 268?

Answer:

Least Common Multiple of 263 and 268 = 70484

Step 1: Find the prime factorization of 263

263 = 263

Step 2: Find the prime factorization of 268

268 = 2 x 2 x 67

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

LCM = 70484 = 2 x 2 x 67 x 263

Step 4: Therefore, the least common multiple of 263 and 268 is 70484.