Least Common Multiple of 8263 and 8267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8263 and 8267 the smallest integer that is 68310221 that is divisible by both numbers.

Least Common Multiple (LCM) of 8263 and 8267 is 68310221.

LCM(8263,8267) = 68310221

LCM of 8263 and 8267

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

LCM of:
and

Least Common Multiple of 8263 and 8267

LCM of 8263 and 8267 is 68310221

Least common multiple can be found by multiplying the highest exponent prime factors of 8263 and 8267. First we will calculate the prime factors of 8263 and 8267.

Prime Factorization of 8263


8263 8263
1

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 82631

Prime Factorization of 8267


7 8267
1181 1181
1

Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:

8267 = 71×11811

Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8267.

LCM(8263,8267) = 71×11811×82631
LCM(8263,8267) = 68310221

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1, 8263

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1, 7, 1181, 8267

Least Common Multiple of 8263 and 8267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8263 and 8267, than apply into the LCM equation.

GCF(8263,8267) = 1
LCM(8263,8267) = ( 8263 × 8267) / 1
LCM(8263,8267) = 68310221 / 1
LCM(8263,8267) = 68310221

Properties of LCM 8263 and 8267

(i) The LCM of 8267 and 8263 is associative

LCM of 8263 and 8267 = LCM of 8267 and 8263

Related Least Common Multiples of 8263

Related Least Common Multiples of 8267

Frequently Asked Questions on LCM of 8263 and 8267

1. What is the LCM of 8263 and 8267?

Answer: LCM of 8263 and 8267 is 68310221.

2. What are the Factors of 8263?

Answer: Factors of 8263 are 1, 8263. There are 2 integers that are factors of 8263. The greatest factor of 8263 is 8263.

3. What are the Factors of 8267?

Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.

4. How to Find the LCM of 8263 and 8267?

Answer:

Least Common Multiple of 8263 and 8267 = 68310221

Step 1: Find the prime factorization of 8263

8263 = 8263

Step 2: Find the prime factorization of 8267

8267 = 7 x 1181

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

LCM = 68310221 = 7 x 1181 x 8263

Step 4: Therefore, the least common multiple of 8263 and 8267 is 68310221.