Least Common Multiple of 144400 and 144408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144400 and 144408 the smallest integer that is 2606564400 that is divisible by both numbers.

Least Common Multiple (LCM) of 144400 and 144408 is 2606564400.

LCM(144400,144408) = 2606564400

LCM of 144400 and 144408

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

LCM of:
and

Least Common Multiple of 144400 and 144408

LCM of 144400 and 144408 is 2606564400

Least common multiple can be found by multiplying the highest exponent prime factors of 144400 and 144408. First we will calculate the prime factors of 144400 and 144408.

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

Prime Factorization of 144408


2 144408
2 72204
2 36102
3 18051
11 6017
547 547
1

Prime factors of 144408 are 2, 3, 11,547. Prime factorization of 144408 in exponential form is:

144408 = 23×31×111×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 144400 and 144408.

LCM(144400,144408) = 24×31×52×111×192×5471
LCM(144400,144408) = 2606564400

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

Factors of 144408

List of positive integer factors of 144408 that divides 144408 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 547, 1094, 1641, 2188, 3282, 4376, 6017, 6564, 12034, 13128, 18051, 24068, 36102, 48136, 72204, 144408

Least Common Multiple of 144400 and 144408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144400 and 144408, than apply into the LCM equation.

GCF(144400,144408) = 8
LCM(144400,144408) = ( 144400 × 144408) / 8
LCM(144400,144408) = 20852515200 / 8
LCM(144400,144408) = 2606564400

Properties of LCM 144400 and 144408

(i) The LCM of 144408 and 144400 is associative

LCM of 144400 and 144408 = LCM of 144408 and 144400

Related Least Common Multiples of 144400

Related Least Common Multiples of 144408

Frequently Asked Questions on LCM of 144400 and 144408

1. What is the LCM of 144400 and 144408?

Answer: LCM of 144400 and 144408 is 2606564400.

2. 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.

3. What are the Factors of 144408?

Answer: Factors of 144408 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 547, 1094, 1641, 2188, 3282, 4376, 6017, 6564, 12034, 13128, 18051, 24068, 36102, 48136, 72204, 144408. There are 32 integers that are factors of 144408. The greatest factor of 144408 is 144408.

4. How to Find the LCM of 144400 and 144408?

Answer:

Least Common Multiple of 144400 and 144408 = 2606564400

Step 1: Find the prime factorization of 144400

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

Step 2: Find the prime factorization of 144408

144408 = 2 x 2 x 2 x 3 x 11 x 547

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

LCM = 2606564400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 19 x 19 x 547

Step 4: Therefore, the least common multiple of 144400 and 144408 is 2606564400.