Least Common Multiple of 3242 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 3242 and 3250 the smallest integer that is 5268250 that is divisible by both numbers.

Least Common Multiple (LCM) of 3242 and 3250 is 5268250.

LCM(3242,3250) = 5268250

LCM of 3242 and 3250

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

LCM of:
and

Least Common Multiple of 3242 and 3250

LCM of 3242 and 3250 is 5268250

Least common multiple can be found by multiplying the highest exponent prime factors of 3242 and 3250. First we will calculate the prime factors of 3242 and 3250.

Prime Factorization of 3242


2 3242
1621 1621
1

Prime factors of 3242 are 2,1621. Prime factorization of 3242 in exponential form is:

3242 = 21×16211

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 3242 and 3250.

LCM(3242,3250) = 21×53×131×16211
LCM(3242,3250) = 5268250

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1, 2, 1621, 3242

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 3242 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 3242 and 3250, than apply into the LCM equation.

GCF(3242,3250) = 2
LCM(3242,3250) = ( 3242 × 3250) / 2
LCM(3242,3250) = 10536500 / 2
LCM(3242,3250) = 5268250

Properties of LCM 3242 and 3250

(i) The LCM of 3250 and 3242 is associative

LCM of 3242 and 3250 = LCM of 3250 and 3242

Related Least Common Multiples of 3242

Related Least Common Multiples of 3250

Frequently Asked Questions on LCM of 3242 and 3250

1. What is the LCM of 3242 and 3250?

Answer: LCM of 3242 and 3250 is 5268250.

2. What are the Factors of 3242?

Answer: Factors of 3242 are 1, 2, 1621, 3242. There are 4 integers that are factors of 3242. The greatest factor of 3242 is 3242.

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 3242 and 3250?

Answer:

Least Common Multiple of 3242 and 3250 = 5268250

Step 1: Find the prime factorization of 3242

3242 = 2 x 1621

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 = 5268250 = 2 x 5 x 5 x 5 x 13 x 1621

Step 4: Therefore, the least common multiple of 3242 and 3250 is 5268250.