Least Common Multiple of 144375 and 144382

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 144382 the smallest integer that is 2977878750 that is divisible by both numbers.

Least Common Multiple (LCM) of 144375 and 144382 is 2977878750.

LCM(144375,144382) = 2977878750

LCM of 144375 and 144382

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

LCM of:
and

Least Common Multiple of 144375 and 144382

LCM of 144375 and 144382 is 2977878750

Least common multiple can be found by multiplying the highest exponent prime factors of 144375 and 144382. First we will calculate the prime factors of 144375 and 144382.

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 144382


2 144382
7 72191
10313 10313
1

Prime factors of 144382 are 2, 7,10313. Prime factorization of 144382 in exponential form is:

144382 = 21×71×103131

Now multiplying the highest exponent prime factors to calculate the LCM of 144375 and 144382.

LCM(144375,144382) = 21×31×54×71×111×103131
LCM(144375,144382) = 2977878750

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 144382

List of positive integer factors of 144382 that divides 144382 without a remainder.

1, 2, 7, 14, 10313, 20626, 72191, 144382

Least Common Multiple of 144375 and 144382 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 144382, than apply into the LCM equation.

GCF(144375,144382) = 7
LCM(144375,144382) = ( 144375 × 144382) / 7
LCM(144375,144382) = 20845151250 / 7
LCM(144375,144382) = 2977878750

Properties of LCM 144375 and 144382

(i) The LCM of 144382 and 144375 is associative

LCM of 144375 and 144382 = LCM of 144382 and 144375

Related Least Common Multiples of 144375

Related Least Common Multiples of 144382

Frequently Asked Questions on LCM of 144375 and 144382

1. What is the LCM of 144375 and 144382?

Answer: LCM of 144375 and 144382 is 2977878750.

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 144382?

Answer: Factors of 144382 are 1, 2, 7, 14, 10313, 20626, 72191, 144382. There are 8 integers that are factors of 144382. The greatest factor of 144382 is 144382.

4. How to Find the LCM of 144375 and 144382?

Answer:

Least Common Multiple of 144375 and 144382 = 2977878750

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 144382

144382 = 2 x 7 x 10313

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

LCM = 2977878750 = 2 x 3 x 5 x 5 x 5 x 5 x 7 x 11 x 10313

Step 4: Therefore, the least common multiple of 144375 and 144382 is 2977878750.