Least Common Multiple of 10150 and 10156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10150 and 10156 the smallest integer that is 51541700 that is divisible by both numbers.

Least Common Multiple (LCM) of 10150 and 10156 is 51541700.

LCM(10150,10156) = 51541700

LCM of 10150 and 10156

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

LCM of:
and

Least Common Multiple of 10150 and 10156

LCM of 10150 and 10156 is 51541700

Least common multiple can be found by multiplying the highest exponent prime factors of 10150 and 10156. First we will calculate the prime factors of 10150 and 10156.

Prime Factorization of 10150


2 10150
5 5075
5 1015
7 203
29 29
1

Prime factors of 10150 are 2, 5, 7,29. Prime factorization of 10150 in exponential form is:

10150 = 21×52×71×291

Prime Factorization of 10156


2 10156
2 5078
2539 2539
1

Prime factors of 10156 are 2,2539. Prime factorization of 10156 in exponential form is:

10156 = 22×25391

Now multiplying the highest exponent prime factors to calculate the LCM of 10150 and 10156.

LCM(10150,10156) = 22×52×71×291×25391
LCM(10150,10156) = 51541700

Factors of 10150

List of positive integer factors of 10150 that divides 10150 without a remainder.

1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150

Factors of 10156

List of positive integer factors of 10156 that divides 10156 without a remainder.

1, 2, 4, 2539, 5078, 10156

Least Common Multiple of 10150 and 10156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10150 and 10156, than apply into the LCM equation.

GCF(10150,10156) = 2
LCM(10150,10156) = ( 10150 × 10156) / 2
LCM(10150,10156) = 103083400 / 2
LCM(10150,10156) = 51541700

Properties of LCM 10150 and 10156

(i) The LCM of 10156 and 10150 is associative

LCM of 10150 and 10156 = LCM of 10156 and 10150

Related Least Common Multiples of 10150

Related Least Common Multiples of 10156

Frequently Asked Questions on LCM of 10150 and 10156

1. What is the LCM of 10150 and 10156?

Answer: LCM of 10150 and 10156 is 51541700.

2. What are the Factors of 10150?

Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.

3. What are the Factors of 10156?

Answer: Factors of 10156 are 1, 2, 4, 2539, 5078, 10156. There are 6 integers that are factors of 10156. The greatest factor of 10156 is 10156.

4. How to Find the LCM of 10150 and 10156?

Answer:

Least Common Multiple of 10150 and 10156 = 51541700

Step 1: Find the prime factorization of 10150

10150 = 2 x 5 x 5 x 7 x 29

Step 2: Find the prime factorization of 10156

10156 = 2 x 2 x 2539

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

LCM = 51541700 = 2 x 2 x 5 x 5 x 7 x 29 x 2539

Step 4: Therefore, the least common multiple of 10150 and 10156 is 51541700.