Least Common Multiple of 10246 and 10250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10246 and 10250 the smallest integer that is 52510750 that is divisible by both numbers.

Least Common Multiple (LCM) of 10246 and 10250 is 52510750.

LCM(10246,10250) = 52510750

LCM of 10246 and 10250

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

LCM of:
and

Least Common Multiple of 10246 and 10250

LCM of 10246 and 10250 is 52510750

Least common multiple can be found by multiplying the highest exponent prime factors of 10246 and 10250. First we will calculate the prime factors of 10246 and 10250.

Prime Factorization of 10246


2 10246
47 5123
109 109
1

Prime factors of 10246 are 2, 47,109. Prime factorization of 10246 in exponential form is:

10246 = 21×471×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10246 and 10250.

LCM(10246,10250) = 21×53×411×471×1091
LCM(10246,10250) = 52510750

Factors of 10246

List of positive integer factors of 10246 that divides 10246 without a remainder.

1, 2, 47, 94, 109, 218, 5123, 10246

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

Least Common Multiple of 10246 and 10250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10246 and 10250, than apply into the LCM equation.

GCF(10246,10250) = 2
LCM(10246,10250) = ( 10246 × 10250) / 2
LCM(10246,10250) = 105021500 / 2
LCM(10246,10250) = 52510750

Properties of LCM 10246 and 10250

(i) The LCM of 10250 and 10246 is associative

LCM of 10246 and 10250 = LCM of 10250 and 10246

Related Least Common Multiples of 10246

Related Least Common Multiples of 10250

Frequently Asked Questions on LCM of 10246 and 10250

1. What is the LCM of 10246 and 10250?

Answer: LCM of 10246 and 10250 is 52510750.

2. What are the Factors of 10246?

Answer: Factors of 10246 are 1, 2, 47, 94, 109, 218, 5123, 10246. There are 8 integers that are factors of 10246. The greatest factor of 10246 is 10246.

3. 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.

4. How to Find the LCM of 10246 and 10250?

Answer:

Least Common Multiple of 10246 and 10250 = 52510750

Step 1: Find the prime factorization of 10246

10246 = 2 x 47 x 109

Step 2: Find the prime factorization of 10250

10250 = 2 x 5 x 5 x 5 x 41

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

LCM = 52510750 = 2 x 5 x 5 x 5 x 41 x 47 x 109

Step 4: Therefore, the least common multiple of 10246 and 10250 is 52510750.