Least Common Multiple of 144393 and 144400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144393 and 144400 the smallest integer that is 20850349200 that is divisible by both numbers.

Least Common Multiple (LCM) of 144393 and 144400 is 20850349200.

LCM(144393,144400) = 20850349200

LCM of 144393 and 144400

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

LCM of:
and

Least Common Multiple of 144393 and 144400

LCM of 144393 and 144400 is 20850349200

Least common multiple can be found by multiplying the highest exponent prime factors of 144393 and 144400. First we will calculate the prime factors of 144393 and 144400.

Prime Factorization of 144393


3 144393
48131 48131
1

Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:

144393 = 31×481311

Prime Factorization of 144400


2 144400
2 72200
2 36100
2 18050
5 9025
5 1805
19 361
19 19
1

Prime factors of 144400 are 2, 5,19. Prime factorization of 144400 in exponential form is:

144400 = 24×52×192

Now multiplying the highest exponent prime factors to calculate the LCM of 144393 and 144400.

LCM(144393,144400) = 24×31×52×192×481311
LCM(144393,144400) = 20850349200

Factors of 144393

List of positive integer factors of 144393 that divides 144393 without a remainder.

1, 3, 48131, 144393

Factors of 144400

List of positive integer factors of 144400 that divides 144400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 361, 380, 400, 475, 722, 760, 950, 1444, 1520, 1805, 1900, 2888, 3610, 3800, 5776, 7220, 7600, 9025, 14440, 18050, 28880, 36100, 72200, 144400

Least Common Multiple of 144393 and 144400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144393 and 144400, than apply into the LCM equation.

GCF(144393,144400) = 1
LCM(144393,144400) = ( 144393 × 144400) / 1
LCM(144393,144400) = 20850349200 / 1
LCM(144393,144400) = 20850349200

Properties of LCM 144393 and 144400

(i) The LCM of 144400 and 144393 is associative

LCM of 144393 and 144400 = LCM of 144400 and 144393

Related Least Common Multiples of 144393

Related Least Common Multiples of 144400

Frequently Asked Questions on LCM of 144393 and 144400

1. What is the LCM of 144393 and 144400?

Answer: LCM of 144393 and 144400 is 20850349200.

2. What are the Factors of 144393?

Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.

3. What are the Factors of 144400?

Answer: Factors of 144400 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 361, 380, 400, 475, 722, 760, 950, 1444, 1520, 1805, 1900, 2888, 3610, 3800, 5776, 7220, 7600, 9025, 14440, 18050, 28880, 36100, 72200, 144400. There are 45 integers that are factors of 144400. The greatest factor of 144400 is 144400.

4. How to Find the LCM of 144393 and 144400?

Answer:

Least Common Multiple of 144393 and 144400 = 20850349200

Step 1: Find the prime factorization of 144393

144393 = 3 x 48131

Step 2: Find the prime factorization of 144400

144400 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 19

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

LCM = 20850349200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 19 x 19 x 48131

Step 4: Therefore, the least common multiple of 144393 and 144400 is 20850349200.