Least Common Multiple of 4233 and 4238

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 4238 the smallest integer that is 17939454 that is divisible by both numbers.

Least Common Multiple (LCM) of 4233 and 4238 is 17939454.

LCM(4233,4238) = 17939454

LCM of 4233 and 4238

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

LCM of:
and

Least Common Multiple of 4233 and 4238

LCM of 4233 and 4238 is 17939454

Least common multiple can be found by multiplying the highest exponent prime factors of 4233 and 4238. First we will calculate the prime factors of 4233 and 4238.

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 4238


2 4238
13 2119
163 163
1

Prime factors of 4238 are 2, 13,163. Prime factorization of 4238 in exponential form is:

4238 = 21×131×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4233 and 4238.

LCM(4233,4238) = 21×31×131×171×831×1631
LCM(4233,4238) = 17939454

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 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1, 2, 13, 26, 163, 326, 2119, 4238

Least Common Multiple of 4233 and 4238 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 4238, than apply into the LCM equation.

GCF(4233,4238) = 1
LCM(4233,4238) = ( 4233 × 4238) / 1
LCM(4233,4238) = 17939454 / 1
LCM(4233,4238) = 17939454

Properties of LCM 4233 and 4238

(i) The LCM of 4238 and 4233 is associative

LCM of 4233 and 4238 = LCM of 4238 and 4233

Related Least Common Multiples of 4233

Related Least Common Multiples of 4238

Frequently Asked Questions on LCM of 4233 and 4238

1. What is the LCM of 4233 and 4238?

Answer: LCM of 4233 and 4238 is 17939454.

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 4238?

Answer: Factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238. There are 8 integers that are factors of 4238. The greatest factor of 4238 is 4238.

4. How to Find the LCM of 4233 and 4238?

Answer:

Least Common Multiple of 4233 and 4238 = 17939454

Step 1: Find the prime factorization of 4233

4233 = 3 x 17 x 83

Step 2: Find the prime factorization of 4238

4238 = 2 x 13 x 163

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

LCM = 17939454 = 2 x 3 x 13 x 17 x 83 x 163

Step 4: Therefore, the least common multiple of 4233 and 4238 is 17939454.