Least Common Multiple of 2433 and 2436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2433 and 2436 the smallest integer that is 1975596 that is divisible by both numbers.

Least Common Multiple (LCM) of 2433 and 2436 is 1975596.

LCM(2433,2436) = 1975596

LCM of 2433 and 2436

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

LCM of:
and

Least Common Multiple of 2433 and 2436

LCM of 2433 and 2436 is 1975596

Least common multiple can be found by multiplying the highest exponent prime factors of 2433 and 2436. First we will calculate the prime factors of 2433 and 2436.

Prime Factorization of 2433


3 2433
811 811
1

Prime factors of 2433 are 3,811. Prime factorization of 2433 in exponential form is:

2433 = 31×8111

Prime Factorization of 2436


2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 2436 are 2, 3, 7,29. Prime factorization of 2436 in exponential form is:

2436 = 22×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2433 and 2436.

LCM(2433,2436) = 22×31×71×291×8111
LCM(2433,2436) = 1975596

Factors of 2433

List of positive integer factors of 2433 that divides 2433 without a remainder.

1, 3, 811, 2433

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436

Least Common Multiple of 2433 and 2436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2433 and 2436, than apply into the LCM equation.

GCF(2433,2436) = 3
LCM(2433,2436) = ( 2433 × 2436) / 3
LCM(2433,2436) = 5926788 / 3
LCM(2433,2436) = 1975596

Properties of LCM 2433 and 2436

(i) The LCM of 2436 and 2433 is associative

LCM of 2433 and 2436 = LCM of 2436 and 2433

Related Least Common Multiples of 2433

Related Least Common Multiples of 2436

Frequently Asked Questions on LCM of 2433 and 2436

1. What is the LCM of 2433 and 2436?

Answer: LCM of 2433 and 2436 is 1975596.

2. What are the Factors of 2433?

Answer: Factors of 2433 are 1, 3, 811, 2433. There are 4 integers that are factors of 2433. The greatest factor of 2433 is 2433.

3. What are the Factors of 2436?

Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.

4. How to Find the LCM of 2433 and 2436?

Answer:

Least Common Multiple of 2433 and 2436 = 1975596

Step 1: Find the prime factorization of 2433

2433 = 3 x 811

Step 2: Find the prime factorization of 2436

2436 = 2 x 2 x 3 x 7 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 = 1975596 = 2 x 2 x 3 x 7 x 29 x 811

Step 4: Therefore, the least common multiple of 2433 and 2436 is 1975596.