Least Common Multiple of 1444 and 1450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1444 and 1450 the smallest integer that is 1046900 that is divisible by both numbers.

Least Common Multiple (LCM) of 1444 and 1450 is 1046900.

LCM(1444,1450) = 1046900

LCM of 1444 and 1450

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

LCM of:
and

Least Common Multiple of 1444 and 1450

LCM of 1444 and 1450 is 1046900

Least common multiple can be found by multiplying the highest exponent prime factors of 1444 and 1450. First we will calculate the prime factors of 1444 and 1450.

Prime Factorization of 1444


2 1444
2 722
19 361
19 19
1

Prime factors of 1444 are 2,19. Prime factorization of 1444 in exponential form is:

1444 = 22×192

Prime Factorization of 1450


2 1450
5 725
5 145
29 29
1

Prime factors of 1450 are 2, 5,29. Prime factorization of 1450 in exponential form is:

1450 = 21×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1444 and 1450.

LCM(1444,1450) = 22×52×192×291
LCM(1444,1450) = 1046900

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1, 2, 4, 19, 38, 76, 361, 722, 1444

Factors of 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450

Least Common Multiple of 1444 and 1450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1444 and 1450, than apply into the LCM equation.

GCF(1444,1450) = 2
LCM(1444,1450) = ( 1444 × 1450) / 2
LCM(1444,1450) = 2093800 / 2
LCM(1444,1450) = 1046900

Properties of LCM 1444 and 1450

(i) The LCM of 1450 and 1444 is associative

LCM of 1444 and 1450 = LCM of 1450 and 1444

Related Least Common Multiples of 1444

Related Least Common Multiples of 1450

Frequently Asked Questions on LCM of 1444 and 1450

1. What is the LCM of 1444 and 1450?

Answer: LCM of 1444 and 1450 is 1046900.

2. What are the Factors of 1444?

Answer: Factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444. There are 9 integers that are factors of 1444. The greatest factor of 1444 is 1444.

3. What are the Factors of 1450?

Answer: Factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450. There are 12 integers that are factors of 1450. The greatest factor of 1450 is 1450.

4. How to Find the LCM of 1444 and 1450?

Answer:

Least Common Multiple of 1444 and 1450 = 1046900

Step 1: Find the prime factorization of 1444

1444 = 2 x 2 x 19 x 19

Step 2: Find the prime factorization of 1450

1450 = 2 x 5 x 5 x 29

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

LCM = 1046900 = 2 x 2 x 5 x 5 x 19 x 19 x 29

Step 4: Therefore, the least common multiple of 1444 and 1450 is 1046900.