Least Common Multiple of 8278 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 8278 and 8283 the smallest integer that is 68566674 that is divisible by both numbers.

Least Common Multiple (LCM) of 8278 and 8283 is 68566674.

LCM(8278,8283) = 68566674

LCM of 8278 and 8283

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

LCM of:
and

Least Common Multiple of 8278 and 8283

LCM of 8278 and 8283 is 68566674

Least common multiple can be found by multiplying the highest exponent prime factors of 8278 and 8283. First we will calculate the prime factors of 8278 and 8283.

Prime Factorization of 8278


2 8278
4139 4139
1

Prime factors of 8278 are 2,4139. Prime factorization of 8278 in exponential form is:

8278 = 21×41391

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 8278 and 8283.

LCM(8278,8283) = 21×31×111×2511×41391
LCM(8278,8283) = 68566674

Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1, 2, 4139, 8278

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 8278 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 8278 and 8283, than apply into the LCM equation.

GCF(8278,8283) = 1
LCM(8278,8283) = ( 8278 × 8283) / 1
LCM(8278,8283) = 68566674 / 1
LCM(8278,8283) = 68566674

Properties of LCM 8278 and 8283

(i) The LCM of 8283 and 8278 is associative

LCM of 8278 and 8283 = LCM of 8283 and 8278

Related Least Common Multiples of 8278

Related Least Common Multiples of 8283

Frequently Asked Questions on LCM of 8278 and 8283

1. What is the LCM of 8278 and 8283?

Answer: LCM of 8278 and 8283 is 68566674.

2. What are the Factors of 8278?

Answer: Factors of 8278 are 1, 2, 4139, 8278. There are 4 integers that are factors of 8278. The greatest factor of 8278 is 8278.

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 8278 and 8283?

Answer:

Least Common Multiple of 8278 and 8283 = 68566674

Step 1: Find the prime factorization of 8278

8278 = 2 x 4139

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 = 68566674 = 2 x 3 x 11 x 251 x 4139

Step 4: Therefore, the least common multiple of 8278 and 8283 is 68566674.