Least Common Multiple of 10144 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 10144 and 10150 the smallest integer that is 51480800 that is divisible by both numbers.

Least Common Multiple (LCM) of 10144 and 10150 is 51480800.

LCM(10144,10150) = 51480800

LCM of 10144 and 10150

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

LCM of:
and

Least Common Multiple of 10144 and 10150

LCM of 10144 and 10150 is 51480800

Least common multiple can be found by multiplying the highest exponent prime factors of 10144 and 10150. First we will calculate the prime factors of 10144 and 10150.

Prime Factorization of 10144


2 10144
2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 10144 are 2,317. Prime factorization of 10144 in exponential form is:

10144 = 25×3171

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 10144 and 10150.

LCM(10144,10150) = 25×52×71×291×3171
LCM(10144,10150) = 51480800

Factors of 10144

List of positive integer factors of 10144 that divides 10144 without a remainder.

1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144

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 10144 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 10144 and 10150, than apply into the LCM equation.

GCF(10144,10150) = 2
LCM(10144,10150) = ( 10144 × 10150) / 2
LCM(10144,10150) = 102961600 / 2
LCM(10144,10150) = 51480800

Properties of LCM 10144 and 10150

(i) The LCM of 10150 and 10144 is associative

LCM of 10144 and 10150 = LCM of 10150 and 10144

Related Least Common Multiples of 10144

Related Least Common Multiples of 10150

Frequently Asked Questions on LCM of 10144 and 10150

1. What is the LCM of 10144 and 10150?

Answer: LCM of 10144 and 10150 is 51480800.

2. What are the Factors of 10144?

Answer: Factors of 10144 are 1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144. There are 12 integers that are factors of 10144. The greatest factor of 10144 is 10144.

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 10144 and 10150?

Answer:

Least Common Multiple of 10144 and 10150 = 51480800

Step 1: Find the prime factorization of 10144

10144 = 2 x 2 x 2 x 2 x 2 x 317

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 = 51480800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 29 x 317

Step 4: Therefore, the least common multiple of 10144 and 10150 is 51480800.