Least Common Multiple of 263 and 267

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 267 the smallest integer that is 70221 that is divisible by both numbers.

Least Common Multiple (LCM) of 263 and 267 is 70221.

LCM(263,267) = 70221

LCM of 263 and 267

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

LCM of:
and

Least Common Multiple of 263 and 267

LCM of 263 and 267 is 70221

Least common multiple can be found by multiplying the highest exponent prime factors of 263 and 267. First we will calculate the prime factors of 263 and 267.

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 267


3 267
89 89
1

Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:

267 = 31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 263 and 267.

LCM(263,267) = 31×891×2631
LCM(263,267) = 70221

Factors of 263

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

1, 263

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Least Common Multiple of 263 and 267 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 267, than apply into the LCM equation.

GCF(263,267) = 1
LCM(263,267) = ( 263 × 267) / 1
LCM(263,267) = 70221 / 1
LCM(263,267) = 70221

Properties of LCM 263 and 267

(i) The LCM of 267 and 263 is associative

LCM of 263 and 267 = LCM of 267 and 263

Related Least Common Multiples of 263

Related Least Common Multiples of 267

Frequently Asked Questions on LCM of 263 and 267

1. What is the LCM of 263 and 267?

Answer: LCM of 263 and 267 is 70221.

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 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

4. How to Find the LCM of 263 and 267?

Answer:

Least Common Multiple of 263 and 267 = 70221

Step 1: Find the prime factorization of 263

263 = 263

Step 2: Find the prime factorization of 267

267 = 3 x 89

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

LCM = 70221 = 3 x 89 x 263

Step 4: Therefore, the least common multiple of 263 and 267 is 70221.