Least Common Multiple of 22436 and 22443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 22436 and 22443 the smallest integer that is 503531148 that is divisible by both numbers.

Least Common Multiple (LCM) of 22436 and 22443 is 503531148.

LCM(22436,22443) = 503531148

LCM of 22436 and 22443

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

LCM of:
and

Least Common Multiple of 22436 and 22443

LCM of 22436 and 22443 is 503531148

Least common multiple can be found by multiplying the highest exponent prime factors of 22436 and 22443. First we will calculate the prime factors of 22436 and 22443.

Prime Factorization of 22436


2 22436
2 11218
71 5609
79 79
1

Prime factors of 22436 are 2, 71,79. Prime factorization of 22436 in exponential form is:

22436 = 22×711×791

Prime Factorization of 22443


3 22443
7481 7481
1

Prime factors of 22443 are 3,7481. Prime factorization of 22443 in exponential form is:

22443 = 31×74811

Now multiplying the highest exponent prime factors to calculate the LCM of 22436 and 22443.

LCM(22436,22443) = 22×31×711×791×74811
LCM(22436,22443) = 503531148

Factors of 22436

List of positive integer factors of 22436 that divides 22436 without a remainder.

1, 2, 4, 71, 79, 142, 158, 284, 316, 5609, 11218, 22436

Factors of 22443

List of positive integer factors of 22443 that divides 22443 without a remainder.

1, 3, 7481, 22443

Least Common Multiple of 22436 and 22443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22436 and 22443, than apply into the LCM equation.

GCF(22436,22443) = 1
LCM(22436,22443) = ( 22436 × 22443) / 1
LCM(22436,22443) = 503531148 / 1
LCM(22436,22443) = 503531148

Properties of LCM 22436 and 22443

(i) The LCM of 22443 and 22436 is associative

LCM of 22436 and 22443 = LCM of 22443 and 22436

Related Least Common Multiples of 22436

Related Least Common Multiples of 22443

Frequently Asked Questions on LCM of 22436 and 22443

1. What is the LCM of 22436 and 22443?

Answer: LCM of 22436 and 22443 is 503531148.

2. What are the Factors of 22436?

Answer: Factors of 22436 are 1, 2, 4, 71, 79, 142, 158, 284, 316, 5609, 11218, 22436. There are 12 integers that are factors of 22436. The greatest factor of 22436 is 22436.

3. What are the Factors of 22443?

Answer: Factors of 22443 are 1, 3, 7481, 22443. There are 4 integers that are factors of 22443. The greatest factor of 22443 is 22443.

4. How to Find the LCM of 22436 and 22443?

Answer:

Least Common Multiple of 22436 and 22443 = 503531148

Step 1: Find the prime factorization of 22436

22436 = 2 x 2 x 71 x 79

Step 2: Find the prime factorization of 22443

22443 = 3 x 7481

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

LCM = 503531148 = 2 x 2 x 3 x 71 x 79 x 7481

Step 4: Therefore, the least common multiple of 22436 and 22443 is 503531148.