Least Common Multiple of 10268 and 10276

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 10276 the smallest integer that is 26378492 that is divisible by both numbers.

Least Common Multiple (LCM) of 10268 and 10276 is 26378492.

LCM(10268,10276) = 26378492

LCM of 10268 and 10276

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

LCM of:
and

Least Common Multiple of 10268 and 10276

LCM of 10268 and 10276 is 26378492

Least common multiple can be found by multiplying the highest exponent prime factors of 10268 and 10276. First we will calculate the prime factors of 10268 and 10276.

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 10276


2 10276
2 5138
7 2569
367 367
1

Prime factors of 10276 are 2, 7,367. Prime factorization of 10276 in exponential form is:

10276 = 22×71×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 10268 and 10276.

LCM(10268,10276) = 22×71×171×1511×3671
LCM(10268,10276) = 26378492

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 10276

List of positive integer factors of 10276 that divides 10276 without a remainder.

1, 2, 4, 7, 14, 28, 367, 734, 1468, 2569, 5138, 10276

Least Common Multiple of 10268 and 10276 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 10276, than apply into the LCM equation.

GCF(10268,10276) = 4
LCM(10268,10276) = ( 10268 × 10276) / 4
LCM(10268,10276) = 105513968 / 4
LCM(10268,10276) = 26378492

Properties of LCM 10268 and 10276

(i) The LCM of 10276 and 10268 is associative

LCM of 10268 and 10276 = LCM of 10276 and 10268

Related Least Common Multiples of 10268

Related Least Common Multiples of 10276

Frequently Asked Questions on LCM of 10268 and 10276

1. What is the LCM of 10268 and 10276?

Answer: LCM of 10268 and 10276 is 26378492.

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 10276?

Answer: Factors of 10276 are 1, 2, 4, 7, 14, 28, 367, 734, 1468, 2569, 5138, 10276. There are 12 integers that are factors of 10276. The greatest factor of 10276 is 10276.

4. How to Find the LCM of 10268 and 10276?

Answer:

Least Common Multiple of 10268 and 10276 = 26378492

Step 1: Find the prime factorization of 10268

10268 = 2 x 2 x 17 x 151

Step 2: Find the prime factorization of 10276

10276 = 2 x 2 x 7 x 367

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

LCM = 26378492 = 2 x 2 x 7 x 17 x 151 x 367

Step 4: Therefore, the least common multiple of 10268 and 10276 is 26378492.