Least Common Multiple of 8275 and 8283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8275 and 8283 the smallest integer that is 68541825 that is divisible by both numbers.

Least Common Multiple (LCM) of 8275 and 8283 is 68541825.

LCM(8275,8283) = 68541825

LCM of 8275 and 8283

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

LCM of:
and

Least Common Multiple of 8275 and 8283

LCM of 8275 and 8283 is 68541825

Least common multiple can be found by multiplying the highest exponent prime factors of 8275 and 8283. First we will calculate the prime factors of 8275 and 8283.

Prime Factorization of 8275


5 8275
5 1655
331 331
1

Prime factors of 8275 are 5,331. Prime factorization of 8275 in exponential form is:

8275 = 52×3311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8275 and 8283.

LCM(8275,8283) = 31×52×111×2511×3311
LCM(8275,8283) = 68541825

Factors of 8275

List of positive integer factors of 8275 that divides 8275 without a remainder.

1, 5, 25, 331, 1655, 8275

Factors of 8283

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

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

Least Common Multiple of 8275 and 8283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8275 and 8283, than apply into the LCM equation.

GCF(8275,8283) = 1
LCM(8275,8283) = ( 8275 × 8283) / 1
LCM(8275,8283) = 68541825 / 1
LCM(8275,8283) = 68541825

Properties of LCM 8275 and 8283

(i) The LCM of 8283 and 8275 is associative

LCM of 8275 and 8283 = LCM of 8283 and 8275

Related Least Common Multiples of 8275

Related Least Common Multiples of 8283

Frequently Asked Questions on LCM of 8275 and 8283

1. What is the LCM of 8275 and 8283?

Answer: LCM of 8275 and 8283 is 68541825.

2. What are the Factors of 8275?

Answer: Factors of 8275 are 1, 5, 25, 331, 1655, 8275. There are 6 integers that are factors of 8275. The greatest factor of 8275 is 8275.

3. 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.

4. How to Find the LCM of 8275 and 8283?

Answer:

Least Common Multiple of 8275 and 8283 = 68541825

Step 1: Find the prime factorization of 8275

8275 = 5 x 5 x 331

Step 2: Find the prime factorization of 8283

8283 = 3 x 11 x 251

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

LCM = 68541825 = 3 x 5 x 5 x 11 x 251 x 331

Step 4: Therefore, the least common multiple of 8275 and 8283 is 68541825.