Least Common Multiple of 2433 and 2435

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 2435 the smallest integer that is 5924355 that is divisible by both numbers.

Least Common Multiple (LCM) of 2433 and 2435 is 5924355.

LCM(2433,2435) = 5924355

LCM of 2433 and 2435

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

LCM of:
and

Least Common Multiple of 2433 and 2435

LCM of 2433 and 2435 is 5924355

Least common multiple can be found by multiplying the highest exponent prime factors of 2433 and 2435. First we will calculate the prime factors of 2433 and 2435.

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 2435


5 2435
487 487
1

Prime factors of 2435 are 5,487. Prime factorization of 2435 in exponential form is:

2435 = 51×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 2433 and 2435.

LCM(2433,2435) = 31×51×4871×8111
LCM(2433,2435) = 5924355

Factors of 2433

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

1, 3, 811, 2433

Factors of 2435

List of positive integer factors of 2435 that divides 2435 without a remainder.

1, 5, 487, 2435

Least Common Multiple of 2433 and 2435 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 2435, than apply into the LCM equation.

GCF(2433,2435) = 1
LCM(2433,2435) = ( 2433 × 2435) / 1
LCM(2433,2435) = 5924355 / 1
LCM(2433,2435) = 5924355

Properties of LCM 2433 and 2435

(i) The LCM of 2435 and 2433 is associative

LCM of 2433 and 2435 = LCM of 2435 and 2433

Frequently Asked Questions on LCM of 2433 and 2435

1. What is the LCM of 2433 and 2435?

Answer: LCM of 2433 and 2435 is 5924355.

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 2435?

Answer: Factors of 2435 are 1, 5, 487, 2435. There are 4 integers that are factors of 2435. The greatest factor of 2435 is 2435.

4. How to Find the LCM of 2433 and 2435?

Answer:

Least Common Multiple of 2433 and 2435 = 5924355

Step 1: Find the prime factorization of 2433

2433 = 3 x 811

Step 2: Find the prime factorization of 2435

2435 = 5 x 487

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

LCM = 5924355 = 3 x 5 x 487 x 811

Step 4: Therefore, the least common multiple of 2433 and 2435 is 5924355.