Least Common Multiple of 263 and 269

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 269 the smallest integer that is 70747 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 269 is 70747.

LCM(263,269) = 70747

LCM of 263 and 269

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

LCM of:
and

Least Common Multiple of 263 and 269

LCM of 263 and 269 is 70747

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 269. First we will calculate the prime factors of 263 and 269.

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 269


269 269
1

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 269.

LCM(263,269) = 2631×2691
LCM(263,269) = 70747

Factors of 263

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

1, 263

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1, 269

Least Common Multiple of 263 and 269 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 269, than apply into the LCM equation.

GCF(263,269) = 1
LCM(263,269) = ( 263 × 269) / 1
LCM(263,269) = 70747 / 1
LCM(263,269) = 70747

Properties of LCM 263 and 269

(i) The LCM of 269 and 263 is associative

LCM of 263 and 269 = LCM of 269 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 269

Frequently Asked Questions on LCM of 263 and 269

1. What is the LCM of 263 and 269?

Answer: LCM of 263 and 269 is 70747.

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 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

4. How to Find the LCM of 263 and 269?

Answer:

Least Common Multiple of 263 and 269 = 70747

Step 1: Find the prime factorization of 263

263 = 263

Step 2: Find the prime factorization of 269

269 = 269

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

LCM = 70747 = 263 x 269

Step 4: Therefore, the least common multiple of 263 and 269 is 70747.