Least Common Multiple of 10145 and 10150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10145 and 10150 the smallest integer that is 20594350 that is divisible by both numbers.

Least Common Multiple (LCM) of 10145 and 10150 is 20594350.

LCM(10145,10150) = 20594350

LCM of 10145 and 10150

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

LCM of:
and

Least Common Multiple of 10145 and 10150

LCM of 10145 and 10150 is 20594350

Least common multiple can be found by multiplying the highest exponent prime factors of 10145 and 10150. First we will calculate the prime factors of 10145 and 10150.

Prime Factorization of 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10145 and 10150.

LCM(10145,10150) = 21×52×71×291×20291
LCM(10145,10150) = 20594350

Factors of 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1, 5, 2029, 10145

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

Least Common Multiple of 10145 and 10150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10145 and 10150, than apply into the LCM equation.

GCF(10145,10150) = 5
LCM(10145,10150) = ( 10145 × 10150) / 5
LCM(10145,10150) = 102971750 / 5
LCM(10145,10150) = 20594350

Properties of LCM 10145 and 10150

(i) The LCM of 10150 and 10145 is associative

LCM of 10145 and 10150 = LCM of 10150 and 10145

Related Least Common Multiples of 10145

Related Least Common Multiples of 10150

Frequently Asked Questions on LCM of 10145 and 10150

1. What is the LCM of 10145 and 10150?

Answer: LCM of 10145 and 10150 is 20594350.

2. What are the Factors of 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

3. 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.

4. How to Find the LCM of 10145 and 10150?

Answer:

Least Common Multiple of 10145 and 10150 = 20594350

Step 1: Find the prime factorization of 10145

10145 = 5 x 2029

Step 2: Find the prime factorization of 10150

10150 = 2 x 5 x 5 x 7 x 29

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

LCM = 20594350 = 2 x 5 x 5 x 7 x 29 x 2029

Step 4: Therefore, the least common multiple of 10145 and 10150 is 20594350.