Least Common Multiple of 8283 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 8283 and 8291 the smallest integer that is 68674353 that is divisible by both numbers.

Least Common Multiple (LCM) of 8283 and 8291 is 68674353.

LCM(8283,8291) = 68674353

LCM of 8283 and 8291

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

LCM of:
and

Least Common Multiple of 8283 and 8291

LCM of 8283 and 8291 is 68674353

Least common multiple can be found by multiplying the highest exponent prime factors of 8283 and 8291. First we will calculate the prime factors of 8283 and 8291.

Prime Factorization of 8283


3 8283
11 2761
251 251
1

Prime factors of 8283 are 3, 11,251. Prime factorization of 8283 in exponential form is:

8283 = 31×111×2511

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 8283 and 8291.

LCM(8283,8291) = 31×111×2511×82911
LCM(8283,8291) = 68674353

Factors of 8283

List of positive integer factors of 8283 that divides 8283 without a remainder.

1, 3, 11, 33, 251, 753, 2761, 8283

Factors of 8291

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

1, 8291

Least Common Multiple of 8283 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 8283 and 8291, than apply into the LCM equation.

GCF(8283,8291) = 1
LCM(8283,8291) = ( 8283 × 8291) / 1
LCM(8283,8291) = 68674353 / 1
LCM(8283,8291) = 68674353

Properties of LCM 8283 and 8291

(i) The LCM of 8291 and 8283 is associative

LCM of 8283 and 8291 = LCM of 8291 and 8283

Related Least Common Multiples of 8283

Related Least Common Multiples of 8291

Frequently Asked Questions on LCM of 8283 and 8291

1. What is the LCM of 8283 and 8291?

Answer: LCM of 8283 and 8291 is 68674353.

2. What are the Factors of 8283?

Answer: Factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283. There are 8 integers that are factors of 8283. The greatest factor of 8283 is 8283.

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 8283 and 8291?

Answer:

Least Common Multiple of 8283 and 8291 = 68674353

Step 1: Find the prime factorization of 8283

8283 = 3 x 11 x 251

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 = 68674353 = 3 x 11 x 251 x 8291

Step 4: Therefore, the least common multiple of 8283 and 8291 is 68674353.