Least Common Multiple of 8263 and 8270

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 8270 the smallest integer that is 68335010 that is divisible by both numbers.

Least Common Multiple (LCM) of 8263 and 8270 is 68335010.

LCM(8263,8270) = 68335010

LCM of 8263 and 8270

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

LCM of:
and

Least Common Multiple of 8263 and 8270

LCM of 8263 and 8270 is 68335010

Least common multiple can be found by multiplying the highest exponent prime factors of 8263 and 8270. First we will calculate the prime factors of 8263 and 8270.

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 8270


2 8270
5 4135
827 827
1

Prime factors of 8270 are 2, 5,827. Prime factorization of 8270 in exponential form is:

8270 = 21×51×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8270.

LCM(8263,8270) = 21×51×8271×82631
LCM(8263,8270) = 68335010

Factors of 8263

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

1, 8263

Factors of 8270

List of positive integer factors of 8270 that divides 8270 without a remainder.

1, 2, 5, 10, 827, 1654, 4135, 8270

Least Common Multiple of 8263 and 8270 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 8270, than apply into the LCM equation.

GCF(8263,8270) = 1
LCM(8263,8270) = ( 8263 × 8270) / 1
LCM(8263,8270) = 68335010 / 1
LCM(8263,8270) = 68335010

Properties of LCM 8263 and 8270

(i) The LCM of 8270 and 8263 is associative

LCM of 8263 and 8270 = LCM of 8270 and 8263

Related Least Common Multiples of 8263

Related Least Common Multiples of 8270

Frequently Asked Questions on LCM of 8263 and 8270

1. What is the LCM of 8263 and 8270?

Answer: LCM of 8263 and 8270 is 68335010.

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 8270?

Answer: Factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270. There are 8 integers that are factors of 8270. The greatest factor of 8270 is 8270.

4. How to Find the LCM of 8263 and 8270?

Answer:

Least Common Multiple of 8263 and 8270 = 68335010

Step 1: Find the prime factorization of 8263

8263 = 8263

Step 2: Find the prime factorization of 8270

8270 = 2 x 5 x 827

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

LCM = 68335010 = 2 x 5 x 827 x 8263

Step 4: Therefore, the least common multiple of 8263 and 8270 is 68335010.