Least Common Multiple of 144375 and 144383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144375 and 144383 the smallest integer that is 20845295625 that is divisible by both numbers.

Least Common Multiple (LCM) of 144375 and 144383 is 20845295625.

LCM(144375,144383) = 20845295625

LCM of 144375 and 144383

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

LCM of:
and

Least Common Multiple of 144375 and 144383

LCM of 144375 and 144383 is 20845295625

Least common multiple can be found by multiplying the highest exponent prime factors of 144375 and 144383. First we will calculate the prime factors of 144375 and 144383.

Prime Factorization of 144375


3 144375
5 48125
5 9625
5 1925
5 385
7 77
11 11
1

Prime factors of 144375 are 3, 5, 7,11. Prime factorization of 144375 in exponential form is:

144375 = 31×54×71×111

Prime Factorization of 144383


144383 144383
1

Prime factors of 144383 are 144383. Prime factorization of 144383 in exponential form is:

144383 = 1443831

Now multiplying the highest exponent prime factors to calculate the LCM of 144375 and 144383.

LCM(144375,144383) = 31×54×71×111×1443831
LCM(144375,144383) = 20845295625

Factors of 144375

List of positive integer factors of 144375 that divides 144375 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 125, 165, 175, 231, 275, 375, 385, 525, 625, 825, 875, 1155, 1375, 1875, 1925, 2625, 4125, 4375, 5775, 6875, 9625, 13125, 20625, 28875, 48125, 144375

Factors of 144383

List of positive integer factors of 144383 that divides 144383 without a remainder.

1, 144383

Least Common Multiple of 144375 and 144383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144375 and 144383, than apply into the LCM equation.

GCF(144375,144383) = 1
LCM(144375,144383) = ( 144375 × 144383) / 1
LCM(144375,144383) = 20845295625 / 1
LCM(144375,144383) = 20845295625

Properties of LCM 144375 and 144383

(i) The LCM of 144383 and 144375 is associative

LCM of 144375 and 144383 = LCM of 144383 and 144375

Related Least Common Multiples of 144375

Related Least Common Multiples of 144383

Frequently Asked Questions on LCM of 144375 and 144383

1. What is the LCM of 144375 and 144383?

Answer: LCM of 144375 and 144383 is 20845295625.

2. What are the Factors of 144375?

Answer: Factors of 144375 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 125, 165, 175, 231, 275, 375, 385, 525, 625, 825, 875, 1155, 1375, 1875, 1925, 2625, 4125, 4375, 5775, 6875, 9625, 13125, 20625, 28875, 48125, 144375. There are 40 integers that are factors of 144375. The greatest factor of 144375 is 144375.

3. What are the Factors of 144383?

Answer: Factors of 144383 are 1, 144383. There are 2 integers that are factors of 144383. The greatest factor of 144383 is 144383.

4. How to Find the LCM of 144375 and 144383?

Answer:

Least Common Multiple of 144375 and 144383 = 20845295625

Step 1: Find the prime factorization of 144375

144375 = 3 x 5 x 5 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 144383

144383 = 144383

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

LCM = 20845295625 = 3 x 5 x 5 x 5 x 5 x 7 x 11 x 144383

Step 4: Therefore, the least common multiple of 144375 and 144383 is 20845295625.