Least Common Multiple of 10260 and 10268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10260 and 10268 the smallest integer that is 26337420 that is divisible by both numbers.

Least Common Multiple (LCM) of 10260 and 10268 is 26337420.

LCM(10260,10268) = 26337420

LCM of 10260 and 10268

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

LCM of:
and

Least Common Multiple of 10260 and 10268

LCM of 10260 and 10268 is 26337420

Least common multiple can be found by multiplying the highest exponent prime factors of 10260 and 10268. First we will calculate the prime factors of 10260 and 10268.

Prime Factorization of 10260


2 10260
2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 10260 are 2, 3, 5,19. Prime factorization of 10260 in exponential form is:

10260 = 22×33×51×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10260 and 10268.

LCM(10260,10268) = 22×33×51×171×191×1511
LCM(10260,10268) = 26337420

Factors of 10260

List of positive integer factors of 10260 that divides 10260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 27, 30, 36, 38, 45, 54, 57, 60, 76, 90, 95, 108, 114, 135, 171, 180, 190, 228, 270, 285, 342, 380, 513, 540, 570, 684, 855, 1026, 1140, 1710, 2052, 2565, 3420, 5130, 10260

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

Least Common Multiple of 10260 and 10268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10260 and 10268, than apply into the LCM equation.

GCF(10260,10268) = 4
LCM(10260,10268) = ( 10260 × 10268) / 4
LCM(10260,10268) = 105349680 / 4
LCM(10260,10268) = 26337420

Properties of LCM 10260 and 10268

(i) The LCM of 10268 and 10260 is associative

LCM of 10260 and 10268 = LCM of 10268 and 10260

Related Least Common Multiples of 10260

Related Least Common Multiples of 10268

Frequently Asked Questions on LCM of 10260 and 10268

1. What is the LCM of 10260 and 10268?

Answer: LCM of 10260 and 10268 is 26337420.

2. What are the Factors of 10260?

Answer: Factors of 10260 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 27, 30, 36, 38, 45, 54, 57, 60, 76, 90, 95, 108, 114, 135, 171, 180, 190, 228, 270, 285, 342, 380, 513, 540, 570, 684, 855, 1026, 1140, 1710, 2052, 2565, 3420, 5130, 10260. There are 48 integers that are factors of 10260. The greatest factor of 10260 is 10260.

3. 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.

4. How to Find the LCM of 10260 and 10268?

Answer:

Least Common Multiple of 10260 and 10268 = 26337420

Step 1: Find the prime factorization of 10260

10260 = 2 x 2 x 3 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 10268

10268 = 2 x 2 x 17 x 151

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

LCM = 26337420 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 19 x 151

Step 4: Therefore, the least common multiple of 10260 and 10268 is 26337420.