Least Common Multiple of 8144 and 8150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8144 and 8150 the smallest integer that is 33186800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8144 and 8150 is 33186800.

LCM(8144,8150) = 33186800

LCM of 8144 and 8150

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

LCM of:
and

Least Common Multiple of 8144 and 8150

LCM of 8144 and 8150 is 33186800

Least common multiple can be found by multiplying the highest exponent prime factors of 8144 and 8150. First we will calculate the prime factors of 8144 and 8150.

Prime Factorization of 8144


2 8144
2 4072
2 2036
2 1018
509 509
1

Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:

8144 = 24×5091

Prime Factorization of 8150


2 8150
5 4075
5 815
163 163
1

Prime factors of 8150 are 2, 5,163. Prime factorization of 8150 in exponential form is:

8150 = 21×52×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 8144 and 8150.

LCM(8144,8150) = 24×52×1631×5091
LCM(8144,8150) = 33186800

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144

Factors of 8150

List of positive integer factors of 8150 that divides 8150 without a remainder.

1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150

Least Common Multiple of 8144 and 8150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8144 and 8150, than apply into the LCM equation.

GCF(8144,8150) = 2
LCM(8144,8150) = ( 8144 × 8150) / 2
LCM(8144,8150) = 66373600 / 2
LCM(8144,8150) = 33186800

Properties of LCM 8144 and 8150

(i) The LCM of 8150 and 8144 is associative

LCM of 8144 and 8150 = LCM of 8150 and 8144

Related Least Common Multiples of 8144

Related Least Common Multiples of 8150

Frequently Asked Questions on LCM of 8144 and 8150

1. What is the LCM of 8144 and 8150?

Answer: LCM of 8144 and 8150 is 33186800.

2. What are the Factors of 8144?

Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.

3. What are the Factors of 8150?

Answer: Factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150. There are 12 integers that are factors of 8150. The greatest factor of 8150 is 8150.

4. How to Find the LCM of 8144 and 8150?

Answer:

Least Common Multiple of 8144 and 8150 = 33186800

Step 1: Find the prime factorization of 8144

8144 = 2 x 2 x 2 x 2 x 509

Step 2: Find the prime factorization of 8150

8150 = 2 x 5 x 5 x 163

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

LCM = 33186800 = 2 x 2 x 2 x 2 x 5 x 5 x 163 x 509

Step 4: Therefore, the least common multiple of 8144 and 8150 is 33186800.