Least Common Multiple of 10250 and 10255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10250 and 10255 the smallest integer that is 21022750 that is divisible by both numbers.

Least Common Multiple (LCM) of 10250 and 10255 is 21022750.

LCM(10250,10255) = 21022750

LCM of 10250 and 10255

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

LCM of:
and

Least Common Multiple of 10250 and 10255

LCM of 10250 and 10255 is 21022750

Least common multiple can be found by multiplying the highest exponent prime factors of 10250 and 10255. First we will calculate the prime factors of 10250 and 10255.

Prime Factorization of 10250


2 10250
5 5125
5 1025
5 205
41 41
1

Prime factors of 10250 are 2, 5,41. Prime factorization of 10250 in exponential form is:

10250 = 21×53×411

Prime Factorization of 10255


5 10255
7 2051
293 293
1

Prime factors of 10255 are 5, 7,293. Prime factorization of 10255 in exponential form is:

10255 = 51×71×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 10250 and 10255.

LCM(10250,10255) = 21×53×71×411×2931
LCM(10250,10255) = 21022750

Factors of 10250

List of positive integer factors of 10250 that divides 10250 without a remainder.

1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250

Factors of 10255

List of positive integer factors of 10255 that divides 10255 without a remainder.

1, 5, 7, 35, 293, 1465, 2051, 10255

Least Common Multiple of 10250 and 10255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10250 and 10255, than apply into the LCM equation.

GCF(10250,10255) = 5
LCM(10250,10255) = ( 10250 × 10255) / 5
LCM(10250,10255) = 105113750 / 5
LCM(10250,10255) = 21022750

Properties of LCM 10250 and 10255

(i) The LCM of 10255 and 10250 is associative

LCM of 10250 and 10255 = LCM of 10255 and 10250

Related Least Common Multiples of 10250

Related Least Common Multiples of 10255

Frequently Asked Questions on LCM of 10250 and 10255

1. What is the LCM of 10250 and 10255?

Answer: LCM of 10250 and 10255 is 21022750.

2. What are the Factors of 10250?

Answer: Factors of 10250 are 1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250. There are 16 integers that are factors of 10250. The greatest factor of 10250 is 10250.

3. What are the Factors of 10255?

Answer: Factors of 10255 are 1, 5, 7, 35, 293, 1465, 2051, 10255. There are 8 integers that are factors of 10255. The greatest factor of 10255 is 10255.

4. How to Find the LCM of 10250 and 10255?

Answer:

Least Common Multiple of 10250 and 10255 = 21022750

Step 1: Find the prime factorization of 10250

10250 = 2 x 5 x 5 x 5 x 41

Step 2: Find the prime factorization of 10255

10255 = 5 x 7 x 293

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

LCM = 21022750 = 2 x 5 x 5 x 5 x 7 x 41 x 293

Step 4: Therefore, the least common multiple of 10250 and 10255 is 21022750.