Least Common Multiple of 3244 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 3244 and 3250 the smallest integer that is 5271500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3244 and 3250 is 5271500.

LCM(3244,3250) = 5271500

LCM of 3244 and 3250

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

LCM of:
and

Least Common Multiple of 3244 and 3250

LCM of 3244 and 3250 is 5271500

Least common multiple can be found by multiplying the highest exponent prime factors of 3244 and 3250. First we will calculate the prime factors of 3244 and 3250.

Prime Factorization of 3244


2 3244
2 1622
811 811
1

Prime factors of 3244 are 2,811. Prime factorization of 3244 in exponential form is:

3244 = 22×8111

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 3244 and 3250.

LCM(3244,3250) = 22×53×131×8111
LCM(3244,3250) = 5271500

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1, 2, 4, 811, 1622, 3244

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 3244 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 3244 and 3250, than apply into the LCM equation.

GCF(3244,3250) = 2
LCM(3244,3250) = ( 3244 × 3250) / 2
LCM(3244,3250) = 10543000 / 2
LCM(3244,3250) = 5271500

Properties of LCM 3244 and 3250

(i) The LCM of 3250 and 3244 is associative

LCM of 3244 and 3250 = LCM of 3250 and 3244

Related Least Common Multiples of 3244

Related Least Common Multiples of 3250

Frequently Asked Questions on LCM of 3244 and 3250

1. What is the LCM of 3244 and 3250?

Answer: LCM of 3244 and 3250 is 5271500.

2. What are the Factors of 3244?

Answer: Factors of 3244 are 1, 2, 4, 811, 1622, 3244. There are 6 integers that are factors of 3244. The greatest factor of 3244 is 3244.

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 3244 and 3250?

Answer:

Least Common Multiple of 3244 and 3250 = 5271500

Step 1: Find the prime factorization of 3244

3244 = 2 x 2 x 811

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 = 5271500 = 2 x 2 x 5 x 5 x 5 x 13 x 811

Step 4: Therefore, the least common multiple of 3244 and 3250 is 5271500.