Least Common Multiple of 8268 and 8275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8268 and 8275 the smallest integer that is 68417700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8268 and 8275 is 68417700.

LCM(8268,8275) = 68417700

LCM of 8268 and 8275

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

LCM of:
and

Least Common Multiple of 8268 and 8275

LCM of 8268 and 8275 is 68417700

Least common multiple can be found by multiplying the highest exponent prime factors of 8268 and 8275. First we will calculate the prime factors of 8268 and 8275.

Prime Factorization of 8268


2 8268
2 4134
3 2067
13 689
53 53
1

Prime factors of 8268 are 2, 3, 13,53. Prime factorization of 8268 in exponential form is:

8268 = 22×31×131×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8268 and 8275.

LCM(8268,8275) = 22×31×52×131×531×3311
LCM(8268,8275) = 68417700

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268

Factors of 8275

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

1, 5, 25, 331, 1655, 8275

Least Common Multiple of 8268 and 8275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8268 and 8275, than apply into the LCM equation.

GCF(8268,8275) = 1
LCM(8268,8275) = ( 8268 × 8275) / 1
LCM(8268,8275) = 68417700 / 1
LCM(8268,8275) = 68417700

Properties of LCM 8268 and 8275

(i) The LCM of 8275 and 8268 is associative

LCM of 8268 and 8275 = LCM of 8275 and 8268

Related Least Common Multiples of 8268

Related Least Common Multiples of 8275

Frequently Asked Questions on LCM of 8268 and 8275

1. What is the LCM of 8268 and 8275?

Answer: LCM of 8268 and 8275 is 68417700.

2. What are the Factors of 8268?

Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.

3. 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.

4. How to Find the LCM of 8268 and 8275?

Answer:

Least Common Multiple of 8268 and 8275 = 68417700

Step 1: Find the prime factorization of 8268

8268 = 2 x 2 x 3 x 13 x 53

Step 2: Find the prime factorization of 8275

8275 = 5 x 5 x 331

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

LCM = 68417700 = 2 x 2 x 3 x 5 x 5 x 13 x 53 x 331

Step 4: Therefore, the least common multiple of 8268 and 8275 is 68417700.