Least Common Multiple of 8279 and 8286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8279 and 8286 the smallest integer that is 68599794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8279 and 8286 is 68599794.

LCM(8279,8286) = 68599794

LCM of 8279 and 8286

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

LCM of:
and

Least Common Multiple of 8279 and 8286

LCM of 8279 and 8286 is 68599794

Least common multiple can be found by multiplying the highest exponent prime factors of 8279 and 8286. First we will calculate the prime factors of 8279 and 8286.

Prime Factorization of 8279


17 8279
487 487
1

Prime factors of 8279 are 17,487. Prime factorization of 8279 in exponential form is:

8279 = 171×4871

Prime Factorization of 8286


2 8286
3 4143
1381 1381
1

Prime factors of 8286 are 2, 3,1381. Prime factorization of 8286 in exponential form is:

8286 = 21×31×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 8279 and 8286.

LCM(8279,8286) = 21×31×171×4871×13811
LCM(8279,8286) = 68599794

Factors of 8279

List of positive integer factors of 8279 that divides 8279 without a remainder.

1, 17, 487, 8279

Factors of 8286

List of positive integer factors of 8286 that divides 8286 without a remainder.

1, 2, 3, 6, 1381, 2762, 4143, 8286

Least Common Multiple of 8279 and 8286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8279 and 8286, than apply into the LCM equation.

GCF(8279,8286) = 1
LCM(8279,8286) = ( 8279 × 8286) / 1
LCM(8279,8286) = 68599794 / 1
LCM(8279,8286) = 68599794

Properties of LCM 8279 and 8286

(i) The LCM of 8286 and 8279 is associative

LCM of 8279 and 8286 = LCM of 8286 and 8279

Related Least Common Multiples of 8279

Related Least Common Multiples of 8286

Frequently Asked Questions on LCM of 8279 and 8286

1. What is the LCM of 8279 and 8286?

Answer: LCM of 8279 and 8286 is 68599794.

2. What are the Factors of 8279?

Answer: Factors of 8279 are 1, 17, 487, 8279. There are 4 integers that are factors of 8279. The greatest factor of 8279 is 8279.

3. What are the Factors of 8286?

Answer: Factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286. There are 8 integers that are factors of 8286. The greatest factor of 8286 is 8286.

4. How to Find the LCM of 8279 and 8286?

Answer:

Least Common Multiple of 8279 and 8286 = 68599794

Step 1: Find the prime factorization of 8279

8279 = 17 x 487

Step 2: Find the prime factorization of 8286

8286 = 2 x 3 x 1381

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

LCM = 68599794 = 2 x 3 x 17 x 487 x 1381

Step 4: Therefore, the least common multiple of 8279 and 8286 is 68599794.