Least Common Multiple of 263 and 264

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 264 the smallest integer that is 69432 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 264 is 69432.

LCM(263,264) = 69432

LCM of 263 and 264

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

LCM of:
and

Least Common Multiple of 263 and 264

LCM of 263 and 264 is 69432

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 264. First we will calculate the prime factors of 263 and 264.

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 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2, 3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 264.

LCM(263,264) = 23×31×111×2631
LCM(263,264) = 69432

Factors of 263

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

1, 263

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Least Common Multiple of 263 and 264 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 264, than apply into the LCM equation.

GCF(263,264) = 1
LCM(263,264) = ( 263 × 264) / 1
LCM(263,264) = 69432 / 1
LCM(263,264) = 69432

Properties of LCM 263 and 264

(i) The LCM of 264 and 263 is associative

LCM of 263 and 264 = LCM of 264 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 263 and 264

1. What is the LCM of 263 and 264?

Answer: LCM of 263 and 264 is 69432.

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 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

4. How to Find the LCM of 263 and 264?

Answer:

Least Common Multiple of 263 and 264 = 69432

Step 1: Find the prime factorization of 263

263 = 263

Step 2: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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

LCM = 69432 = 2 x 2 x 2 x 3 x 11 x 263

Step 4: Therefore, the least common multiple of 263 and 264 is 69432.