Least Common Multiple of 144394 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 144394 and 144400 the smallest integer that is 10425246800 that is divisible by both numbers.

Least Common Multiple (LCM) of 144394 and 144400 is 10425246800.

LCM(144394,144400) = 10425246800

LCM of 144394 and 144400

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

LCM of:
and

Least Common Multiple of 144394 and 144400

LCM of 144394 and 144400 is 10425246800

Least common multiple can be found by multiplying the highest exponent prime factors of 144394 and 144400. First we will calculate the prime factors of 144394 and 144400.

Prime Factorization of 144394


2 144394
23 72197
43 3139
73 73
1

Prime factors of 144394 are 2, 23, 43,73. Prime factorization of 144394 in exponential form is:

144394 = 21×231×431×731

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 144394 and 144400.

LCM(144394,144400) = 24×52×192×231×431×731
LCM(144394,144400) = 10425246800

Factors of 144394

List of positive integer factors of 144394 that divides 144394 without a remainder.

1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394

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 144394 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 144394 and 144400, than apply into the LCM equation.

GCF(144394,144400) = 2
LCM(144394,144400) = ( 144394 × 144400) / 2
LCM(144394,144400) = 20850493600 / 2
LCM(144394,144400) = 10425246800

Properties of LCM 144394 and 144400

(i) The LCM of 144400 and 144394 is associative

LCM of 144394 and 144400 = LCM of 144400 and 144394

Related Least Common Multiples of 144394

Related Least Common Multiples of 144400

Frequently Asked Questions on LCM of 144394 and 144400

1. What is the LCM of 144394 and 144400?

Answer: LCM of 144394 and 144400 is 10425246800.

2. What are the Factors of 144394?

Answer: Factors of 144394 are 1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394. There are 16 integers that are factors of 144394. The greatest factor of 144394 is 144394.

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 144394 and 144400?

Answer:

Least Common Multiple of 144394 and 144400 = 10425246800

Step 1: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

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 = 10425246800 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 19 x 23 x 43 x 73

Step 4: Therefore, the least common multiple of 144394 and 144400 is 10425246800.