Least Common Multiple of 8284 and 8289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8284 and 8289 the smallest integer that is 68666076 that is divisible by both numbers.

Least Common Multiple (LCM) of 8284 and 8289 is 68666076.

LCM(8284,8289) = 68666076

LCM of 8284 and 8289

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

LCM of:
and

Least Common Multiple of 8284 and 8289

LCM of 8284 and 8289 is 68666076

Least common multiple can be found by multiplying the highest exponent prime factors of 8284 and 8289. First we will calculate the prime factors of 8284 and 8289.

Prime Factorization of 8284


2 8284
2 4142
19 2071
109 109
1

Prime factors of 8284 are 2, 19,109. Prime factorization of 8284 in exponential form is:

8284 = 22×191×1091

Prime Factorization of 8289


3 8289
3 2763
3 921
307 307
1

Prime factors of 8289 are 3,307. Prime factorization of 8289 in exponential form is:

8289 = 33×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 8284 and 8289.

LCM(8284,8289) = 22×33×191×1091×3071
LCM(8284,8289) = 68666076

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284

Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1, 3, 9, 27, 307, 921, 2763, 8289

Least Common Multiple of 8284 and 8289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8284 and 8289, than apply into the LCM equation.

GCF(8284,8289) = 1
LCM(8284,8289) = ( 8284 × 8289) / 1
LCM(8284,8289) = 68666076 / 1
LCM(8284,8289) = 68666076

Properties of LCM 8284 and 8289

(i) The LCM of 8289 and 8284 is associative

LCM of 8284 and 8289 = LCM of 8289 and 8284

Related Least Common Multiples of 8284

Related Least Common Multiples of 8289

Frequently Asked Questions on LCM of 8284 and 8289

1. What is the LCM of 8284 and 8289?

Answer: LCM of 8284 and 8289 is 68666076.

2. What are the Factors of 8284?

Answer: Factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284. There are 12 integers that are factors of 8284. The greatest factor of 8284 is 8284.

3. What are the Factors of 8289?

Answer: Factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289. There are 8 integers that are factors of 8289. The greatest factor of 8289 is 8289.

4. How to Find the LCM of 8284 and 8289?

Answer:

Least Common Multiple of 8284 and 8289 = 68666076

Step 1: Find the prime factorization of 8284

8284 = 2 x 2 x 19 x 109

Step 2: Find the prime factorization of 8289

8289 = 3 x 3 x 3 x 307

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

LCM = 68666076 = 2 x 2 x 3 x 3 x 3 x 19 x 109 x 307

Step 4: Therefore, the least common multiple of 8284 and 8289 is 68666076.