Least Common Multiple of 8284 and 8291

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 8291 the smallest integer that is 68682644 that is divisible by both numbers.

Least Common Multiple (LCM) of 8284 and 8291 is 68682644.

LCM(8284,8291) = 68682644

LCM of 8284 and 8291

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

LCM of:
and

Least Common Multiple of 8284 and 8291

LCM of 8284 and 8291 is 68682644

Least common multiple can be found by multiplying the highest exponent prime factors of 8284 and 8291. First we will calculate the prime factors of 8284 and 8291.

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 8291


8291 8291
1

Prime factors of 8291 are 8291. Prime factorization of 8291 in exponential form is:

8291 = 82911

Now multiplying the highest exponent prime factors to calculate the LCM of 8284 and 8291.

LCM(8284,8291) = 22×191×1091×82911
LCM(8284,8291) = 68682644

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 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1, 8291

Least Common Multiple of 8284 and 8291 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 8291, than apply into the LCM equation.

GCF(8284,8291) = 1
LCM(8284,8291) = ( 8284 × 8291) / 1
LCM(8284,8291) = 68682644 / 1
LCM(8284,8291) = 68682644

Properties of LCM 8284 and 8291

(i) The LCM of 8291 and 8284 is associative

LCM of 8284 and 8291 = LCM of 8291 and 8284

Related Least Common Multiples of 8284

Related Least Common Multiples of 8291

Frequently Asked Questions on LCM of 8284 and 8291

1. What is the LCM of 8284 and 8291?

Answer: LCM of 8284 and 8291 is 68682644.

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 8291?

Answer: Factors of 8291 are 1, 8291. There are 2 integers that are factors of 8291. The greatest factor of 8291 is 8291.

4. How to Find the LCM of 8284 and 8291?

Answer:

Least Common Multiple of 8284 and 8291 = 68682644

Step 1: Find the prime factorization of 8284

8284 = 2 x 2 x 19 x 109

Step 2: Find the prime factorization of 8291

8291 = 8291

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

LCM = 68682644 = 2 x 2 x 19 x 109 x 8291

Step 4: Therefore, the least common multiple of 8284 and 8291 is 68682644.