Least Common Multiple of 10259 and 10260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10259 and 10260 the smallest integer that is 105257340 that is divisible by both numbers.

Least Common Multiple (LCM) of 10259 and 10260 is 105257340.

LCM(10259,10260) = 105257340

LCM of 10259 and 10260

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

LCM of:
and

Least Common Multiple of 10259 and 10260

LCM of 10259 and 10260 is 105257340

Least common multiple can be found by multiplying the highest exponent prime factors of 10259 and 10260. First we will calculate the prime factors of 10259 and 10260.

Prime Factorization of 10259


10259 10259
1

Prime factors of 10259 are 10259. Prime factorization of 10259 in exponential form is:

10259 = 102591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10259 and 10260.

LCM(10259,10260) = 22×33×51×191×102591
LCM(10259,10260) = 105257340

Factors of 10259

List of positive integer factors of 10259 that divides 10259 without a remainder.

1, 10259

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

Least Common Multiple of 10259 and 10260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10259 and 10260, than apply into the LCM equation.

GCF(10259,10260) = 1
LCM(10259,10260) = ( 10259 × 10260) / 1
LCM(10259,10260) = 105257340 / 1
LCM(10259,10260) = 105257340

Properties of LCM 10259 and 10260

(i) The LCM of 10260 and 10259 is associative

LCM of 10259 and 10260 = LCM of 10260 and 10259

Related Least Common Multiples of 10259

Related Least Common Multiples of 10260

Frequently Asked Questions on LCM of 10259 and 10260

1. What is the LCM of 10259 and 10260?

Answer: LCM of 10259 and 10260 is 105257340.

2. What are the Factors of 10259?

Answer: Factors of 10259 are 1, 10259. There are 2 integers that are factors of 10259. The greatest factor of 10259 is 10259.

3. 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.

4. How to Find the LCM of 10259 and 10260?

Answer:

Least Common Multiple of 10259 and 10260 = 105257340

Step 1: Find the prime factorization of 10259

10259 = 10259

Step 2: Find the prime factorization of 10260

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

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

LCM = 105257340 = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 10259

Step 4: Therefore, the least common multiple of 10259 and 10260 is 105257340.