Least Common Multiple of 1436 and 1444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1436 and 1444 the smallest integer that is 518396 that is divisible by both numbers.

Least Common Multiple (LCM) of 1436 and 1444 is 518396.

LCM(1436,1444) = 518396

LCM of 1436 and 1444

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

LCM of:
and

Least Common Multiple of 1436 and 1444

LCM of 1436 and 1444 is 518396

Least common multiple can be found by multiplying the highest exponent prime factors of 1436 and 1444. First we will calculate the prime factors of 1436 and 1444.

Prime Factorization of 1436


2 1436
2 718
359 359
1

Prime factors of 1436 are 2,359. Prime factorization of 1436 in exponential form is:

1436 = 22×3591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1436 and 1444.

LCM(1436,1444) = 22×192×3591
LCM(1436,1444) = 518396

Factors of 1436

List of positive integer factors of 1436 that divides 1436 without a remainder.

1, 2, 4, 359, 718, 1436

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

Least Common Multiple of 1436 and 1444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1436 and 1444, than apply into the LCM equation.

GCF(1436,1444) = 4
LCM(1436,1444) = ( 1436 × 1444) / 4
LCM(1436,1444) = 2073584 / 4
LCM(1436,1444) = 518396

Properties of LCM 1436 and 1444

(i) The LCM of 1444 and 1436 is associative

LCM of 1436 and 1444 = LCM of 1444 and 1436

Related Least Common Multiples of 1436

Related Least Common Multiples of 1444

Frequently Asked Questions on LCM of 1436 and 1444

1. What is the LCM of 1436 and 1444?

Answer: LCM of 1436 and 1444 is 518396.

2. What are the Factors of 1436?

Answer: Factors of 1436 are 1, 2, 4, 359, 718, 1436. There are 6 integers that are factors of 1436. The greatest factor of 1436 is 1436.

3. 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.

4. How to Find the LCM of 1436 and 1444?

Answer:

Least Common Multiple of 1436 and 1444 = 518396

Step 1: Find the prime factorization of 1436

1436 = 2 x 2 x 359

Step 2: Find the prime factorization of 1444

1444 = 2 x 2 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 = 518396 = 2 x 2 x 19 x 19 x 359

Step 4: Therefore, the least common multiple of 1436 and 1444 is 518396.