Least Common Multiple of 8276 and 8284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8276 and 8284 the smallest integer that is 17139596 that is divisible by both numbers.

Least Common Multiple (LCM) of 8276 and 8284 is 17139596.

LCM(8276,8284) = 17139596

LCM of 8276 and 8284

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

LCM of:
and

Least Common Multiple of 8276 and 8284

LCM of 8276 and 8284 is 17139596

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8284. First we will calculate the prime factors of 8276 and 8284.

Prime Factorization of 8276


2 8276
2 4138
2069 2069
1

Prime factors of 8276 are 2,2069. Prime factorization of 8276 in exponential form is:

8276 = 22×20691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8276 and 8284.

LCM(8276,8284) = 22×191×1091×20691
LCM(8276,8284) = 17139596

Factors of 8276

List of positive integer factors of 8276 that divides 8276 without a remainder.

1, 2, 4, 2069, 4138, 8276

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

Least Common Multiple of 8276 and 8284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8276 and 8284, than apply into the LCM equation.

GCF(8276,8284) = 4
LCM(8276,8284) = ( 8276 × 8284) / 4
LCM(8276,8284) = 68558384 / 4
LCM(8276,8284) = 17139596

Properties of LCM 8276 and 8284

(i) The LCM of 8284 and 8276 is associative

LCM of 8276 and 8284 = LCM of 8284 and 8276

Related Least Common Multiples of 8276

Related Least Common Multiples of 8284

Frequently Asked Questions on LCM of 8276 and 8284

1. What is the LCM of 8276 and 8284?

Answer: LCM of 8276 and 8284 is 17139596.

2. What are the Factors of 8276?

Answer: Factors of 8276 are 1, 2, 4, 2069, 4138, 8276. There are 6 integers that are factors of 8276. The greatest factor of 8276 is 8276.

3. 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.

4. How to Find the LCM of 8276 and 8284?

Answer:

Least Common Multiple of 8276 and 8284 = 17139596

Step 1: Find the prime factorization of 8276

8276 = 2 x 2 x 2069

Step 2: Find the prime factorization of 8284

8284 = 2 x 2 x 19 x 109

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

LCM = 17139596 = 2 x 2 x 19 x 109 x 2069

Step 4: Therefore, the least common multiple of 8276 and 8284 is 17139596.