Least Common Multiple of 10268 and 10275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10268 and 10275 the smallest integer that is 105503700 that is divisible by both numbers.

Least Common Multiple (LCM) of 10268 and 10275 is 105503700.

LCM(10268,10275) = 105503700

LCM of 10268 and 10275

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

LCM of:
and

Least Common Multiple of 10268 and 10275

LCM of 10268 and 10275 is 105503700

Least common multiple can be found by multiplying the highest exponent prime factors of 10268 and 10275. First we will calculate the prime factors of 10268 and 10275.

Prime Factorization of 10268


2 10268
2 5134
17 2567
151 151
1

Prime factors of 10268 are 2, 17,151. Prime factorization of 10268 in exponential form is:

10268 = 22×171×1511

Prime Factorization of 10275


3 10275
5 3425
5 685
137 137
1

Prime factors of 10275 are 3, 5,137. Prime factorization of 10275 in exponential form is:

10275 = 31×52×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 10268 and 10275.

LCM(10268,10275) = 22×31×52×171×1371×1511
LCM(10268,10275) = 105503700

Factors of 10268

List of positive integer factors of 10268 that divides 10268 without a remainder.

1, 2, 4, 17, 34, 68, 151, 302, 604, 2567, 5134, 10268

Factors of 10275

List of positive integer factors of 10275 that divides 10275 without a remainder.

1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425, 10275

Least Common Multiple of 10268 and 10275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10268 and 10275, than apply into the LCM equation.

GCF(10268,10275) = 1
LCM(10268,10275) = ( 10268 × 10275) / 1
LCM(10268,10275) = 105503700 / 1
LCM(10268,10275) = 105503700

Properties of LCM 10268 and 10275

(i) The LCM of 10275 and 10268 is associative

LCM of 10268 and 10275 = LCM of 10275 and 10268

Related Least Common Multiples of 10268

Related Least Common Multiples of 10275

Frequently Asked Questions on LCM of 10268 and 10275

1. What is the LCM of 10268 and 10275?

Answer: LCM of 10268 and 10275 is 105503700.

2. What are the Factors of 10268?

Answer: Factors of 10268 are 1, 2, 4, 17, 34, 68, 151, 302, 604, 2567, 5134, 10268. There are 12 integers that are factors of 10268. The greatest factor of 10268 is 10268.

3. What are the Factors of 10275?

Answer: Factors of 10275 are 1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425, 10275. There are 12 integers that are factors of 10275. The greatest factor of 10275 is 10275.

4. How to Find the LCM of 10268 and 10275?

Answer:

Least Common Multiple of 10268 and 10275 = 105503700

Step 1: Find the prime factorization of 10268

10268 = 2 x 2 x 17 x 151

Step 2: Find the prime factorization of 10275

10275 = 3 x 5 x 5 x 137

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

LCM = 105503700 = 2 x 2 x 3 x 5 x 5 x 17 x 137 x 151

Step 4: Therefore, the least common multiple of 10268 and 10275 is 105503700.