Least Common Multiple of 8262 and 8263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8262 and 8263 the smallest integer that is 68268906 that is divisible by both numbers.

Least Common Multiple (LCM) of 8262 and 8263 is 68268906.

LCM(8262,8263) = 68268906

LCM of 8262 and 8263

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

LCM of:
and

Least Common Multiple of 8262 and 8263

LCM of 8262 and 8263 is 68268906

Least common multiple can be found by multiplying the highest exponent prime factors of 8262 and 8263. First we will calculate the prime factors of 8262 and 8263.

Prime Factorization of 8262


2 8262
3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 8262 are 2, 3,17. Prime factorization of 8262 in exponential form is:

8262 = 21×35×171

Prime Factorization of 8263


8263 8263
1

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

8263 = 82631

Now multiplying the highest exponent prime factors to calculate the LCM of 8262 and 8263.

LCM(8262,8263) = 21×35×171×82631
LCM(8262,8263) = 68268906

Factors of 8262

List of positive integer factors of 8262 that divides 8262 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262

Factors of 8263

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

1, 8263

Least Common Multiple of 8262 and 8263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8262 and 8263, than apply into the LCM equation.

GCF(8262,8263) = 1
LCM(8262,8263) = ( 8262 × 8263) / 1
LCM(8262,8263) = 68268906 / 1
LCM(8262,8263) = 68268906

Properties of LCM 8262 and 8263

(i) The LCM of 8263 and 8262 is associative

LCM of 8262 and 8263 = LCM of 8263 and 8262

Related Least Common Multiples of 8262

Related Least Common Multiples of 8263

Frequently Asked Questions on LCM of 8262 and 8263

1. What is the LCM of 8262 and 8263?

Answer: LCM of 8262 and 8263 is 68268906.

2. What are the Factors of 8262?

Answer: Factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262. There are 24 integers that are factors of 8262. The greatest factor of 8262 is 8262.

3. 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.

4. How to Find the LCM of 8262 and 8263?

Answer:

Least Common Multiple of 8262 and 8263 = 68268906

Step 1: Find the prime factorization of 8262

8262 = 2 x 3 x 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 8263

8263 = 8263

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

LCM = 68268906 = 2 x 3 x 3 x 3 x 3 x 3 x 17 x 8263

Step 4: Therefore, the least common multiple of 8262 and 8263 is 68268906.