Least Common Multiple of 3238 and 3243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3238 and 3243 the smallest integer that is 10500834 that is divisible by both numbers.

Least Common Multiple (LCM) of 3238 and 3243 is 10500834.

LCM(3238,3243) = 10500834

LCM of 3238 and 3243

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

LCM of:
and

Least Common Multiple of 3238 and 3243

LCM of 3238 and 3243 is 10500834

Least common multiple can be found by multiplying the highest exponent prime factors of 3238 and 3243. First we will calculate the prime factors of 3238 and 3243.

Prime Factorization of 3238


2 3238
1619 1619
1

Prime factors of 3238 are 2,1619. Prime factorization of 3238 in exponential form is:

3238 = 21×16191

Prime Factorization of 3243


3 3243
23 1081
47 47
1

Prime factors of 3243 are 3, 23,47. Prime factorization of 3243 in exponential form is:

3243 = 31×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3238 and 3243.

LCM(3238,3243) = 21×31×231×471×16191
LCM(3238,3243) = 10500834

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1, 2, 1619, 3238

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1, 3, 23, 47, 69, 141, 1081, 3243

Least Common Multiple of 3238 and 3243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3238 and 3243, than apply into the LCM equation.

GCF(3238,3243) = 1
LCM(3238,3243) = ( 3238 × 3243) / 1
LCM(3238,3243) = 10500834 / 1
LCM(3238,3243) = 10500834

Properties of LCM 3238 and 3243

(i) The LCM of 3243 and 3238 is associative

LCM of 3238 and 3243 = LCM of 3243 and 3238

Related Least Common Multiples of 3238

Related Least Common Multiples of 3243

Frequently Asked Questions on LCM of 3238 and 3243

1. What is the LCM of 3238 and 3243?

Answer: LCM of 3238 and 3243 is 10500834.

2. What are the Factors of 3238?

Answer: Factors of 3238 are 1, 2, 1619, 3238. There are 4 integers that are factors of 3238. The greatest factor of 3238 is 3238.

3. What are the Factors of 3243?

Answer: Factors of 3243 are 1, 3, 23, 47, 69, 141, 1081, 3243. There are 8 integers that are factors of 3243. The greatest factor of 3243 is 3243.

4. How to Find the LCM of 3238 and 3243?

Answer:

Least Common Multiple of 3238 and 3243 = 10500834

Step 1: Find the prime factorization of 3238

3238 = 2 x 1619

Step 2: Find the prime factorization of 3243

3243 = 3 x 23 x 47

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

LCM = 10500834 = 2 x 3 x 23 x 47 x 1619

Step 4: Therefore, the least common multiple of 3238 and 3243 is 10500834.