Least Common Multiple of 3243 and 3250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3243 and 3250 the smallest integer that is 10539750 that is divisible by both numbers.

Least Common Multiple (LCM) of 3243 and 3250 is 10539750.

LCM(3243,3250) = 10539750

LCM of 3243 and 3250

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

LCM of:
and

Least Common Multiple of 3243 and 3250

LCM of 3243 and 3250 is 10539750

Least common multiple can be found by multiplying the highest exponent prime factors of 3243 and 3250. First we will calculate the prime factors of 3243 and 3250.

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

Prime Factorization of 3250


2 3250
5 1625
5 325
5 65
13 13
1

Prime factors of 3250 are 2, 5,13. Prime factorization of 3250 in exponential form is:

3250 = 21×53×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3243 and 3250.

LCM(3243,3250) = 21×31×53×131×231×471
LCM(3243,3250) = 10539750

Factors of 3243

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

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

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250

Least Common Multiple of 3243 and 3250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3243 and 3250, than apply into the LCM equation.

GCF(3243,3250) = 1
LCM(3243,3250) = ( 3243 × 3250) / 1
LCM(3243,3250) = 10539750 / 1
LCM(3243,3250) = 10539750

Properties of LCM 3243 and 3250

(i) The LCM of 3250 and 3243 is associative

LCM of 3243 and 3250 = LCM of 3250 and 3243

Related Least Common Multiples of 3243

Related Least Common Multiples of 3250

Frequently Asked Questions on LCM of 3243 and 3250

1. What is the LCM of 3243 and 3250?

Answer: LCM of 3243 and 3250 is 10539750.

2. 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.

3. What are the Factors of 3250?

Answer: Factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250. There are 16 integers that are factors of 3250. The greatest factor of 3250 is 3250.

4. How to Find the LCM of 3243 and 3250?

Answer:

Least Common Multiple of 3243 and 3250 = 10539750

Step 1: Find the prime factorization of 3243

3243 = 3 x 23 x 47

Step 2: Find the prime factorization of 3250

3250 = 2 x 5 x 5 x 5 x 13

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

LCM = 10539750 = 2 x 3 x 5 x 5 x 5 x 13 x 23 x 47

Step 4: Therefore, the least common multiple of 3243 and 3250 is 10539750.