Least Common Multiple of 8276 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 8276 and 8283 the smallest integer that is 68550108 that is divisible by both numbers.

Least Common Multiple (LCM) of 8276 and 8283 is 68550108.

LCM(8276,8283) = 68550108

LCM of 8276 and 8283

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

LCM of:
and

Least Common Multiple of 8276 and 8283

LCM of 8276 and 8283 is 68550108

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8283. First we will calculate the prime factors of 8276 and 8283.

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 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 8276 and 8283.

LCM(8276,8283) = 22×31×111×2511×20691
LCM(8276,8283) = 68550108

Factors of 8276

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

1, 2, 4, 2069, 4138, 8276

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 8276 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 8276 and 8283, than apply into the LCM equation.

GCF(8276,8283) = 1
LCM(8276,8283) = ( 8276 × 8283) / 1
LCM(8276,8283) = 68550108 / 1
LCM(8276,8283) = 68550108

Properties of LCM 8276 and 8283

(i) The LCM of 8283 and 8276 is associative

LCM of 8276 and 8283 = LCM of 8283 and 8276

Related Least Common Multiples of 8276

Related Least Common Multiples of 8283

Frequently Asked Questions on LCM of 8276 and 8283

1. What is the LCM of 8276 and 8283?

Answer: LCM of 8276 and 8283 is 68550108.

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 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 8276 and 8283?

Answer:

Least Common Multiple of 8276 and 8283 = 68550108

Step 1: Find the prime factorization of 8276

8276 = 2 x 2 x 2069

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 = 68550108 = 2 x 2 x 3 x 11 x 251 x 2069

Step 4: Therefore, the least common multiple of 8276 and 8283 is 68550108.