Least Common Multiple of 4233 and 4240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4233 and 4240 the smallest integer that is 17947920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4233 and 4240 is 17947920.

LCM(4233,4240) = 17947920

LCM of 4233 and 4240

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

LCM of:
and

Least Common Multiple of 4233 and 4240

LCM of 4233 and 4240 is 17947920

Least common multiple can be found by multiplying the highest exponent prime factors of 4233 and 4240. First we will calculate the prime factors of 4233 and 4240.

Prime Factorization of 4233


3 4233
17 1411
83 83
1

Prime factors of 4233 are 3, 17,83. Prime factorization of 4233 in exponential form is:

4233 = 31×171×831

Prime Factorization of 4240


2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 4240 are 2, 5,53. Prime factorization of 4240 in exponential form is:

4240 = 24×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4233 and 4240.

LCM(4233,4240) = 24×31×51×171×531×831
LCM(4233,4240) = 17947920

Factors of 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1, 3, 17, 51, 83, 249, 1411, 4233

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240

Least Common Multiple of 4233 and 4240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4233 and 4240, than apply into the LCM equation.

GCF(4233,4240) = 1
LCM(4233,4240) = ( 4233 × 4240) / 1
LCM(4233,4240) = 17947920 / 1
LCM(4233,4240) = 17947920

Properties of LCM 4233 and 4240

(i) The LCM of 4240 and 4233 is associative

LCM of 4233 and 4240 = LCM of 4240 and 4233

Related Least Common Multiples of 4233

Related Least Common Multiples of 4240

Frequently Asked Questions on LCM of 4233 and 4240

1. What is the LCM of 4233 and 4240?

Answer: LCM of 4233 and 4240 is 17947920.

2. What are the Factors of 4233?

Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.

3. What are the Factors of 4240?

Answer: Factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240. There are 20 integers that are factors of 4240. The greatest factor of 4240 is 4240.

4. How to Find the LCM of 4233 and 4240?

Answer:

Least Common Multiple of 4233 and 4240 = 17947920

Step 1: Find the prime factorization of 4233

4233 = 3 x 17 x 83

Step 2: Find the prime factorization of 4240

4240 = 2 x 2 x 2 x 2 x 5 x 53

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

LCM = 17947920 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 53 x 83

Step 4: Therefore, the least common multiple of 4233 and 4240 is 17947920.