Least Common Multiple of 3250 and 3256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3250 and 3256 the smallest integer that is 5291000 that is divisible by both numbers.

Least Common Multiple (LCM) of 3250 and 3256 is 5291000.

LCM(3250,3256) = 5291000

LCM of 3250 and 3256

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

LCM of:
and

Least Common Multiple of 3250 and 3256

LCM of 3250 and 3256 is 5291000

Least common multiple can be found by multiplying the highest exponent prime factors of 3250 and 3256. First we will calculate the prime factors of 3250 and 3256.

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

Prime Factorization of 3256


2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 3256 are 2, 11,37. Prime factorization of 3256 in exponential form is:

3256 = 23×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3250 and 3256.

LCM(3250,3256) = 23×53×111×131×371
LCM(3250,3256) = 5291000

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

Factors of 3256

List of positive integer factors of 3256 that divides 3256 without a remainder.

1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256

Least Common Multiple of 3250 and 3256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3250 and 3256, than apply into the LCM equation.

GCF(3250,3256) = 2
LCM(3250,3256) = ( 3250 × 3256) / 2
LCM(3250,3256) = 10582000 / 2
LCM(3250,3256) = 5291000

Properties of LCM 3250 and 3256

(i) The LCM of 3256 and 3250 is associative

LCM of 3250 and 3256 = LCM of 3256 and 3250

Related Least Common Multiples of 3250

Related Least Common Multiples of 3256

Frequently Asked Questions on LCM of 3250 and 3256

1. What is the LCM of 3250 and 3256?

Answer: LCM of 3250 and 3256 is 5291000.

2. 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.

3. What are the Factors of 3256?

Answer: Factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256. There are 16 integers that are factors of 3256. The greatest factor of 3256 is 3256.

4. How to Find the LCM of 3250 and 3256?

Answer:

Least Common Multiple of 3250 and 3256 = 5291000

Step 1: Find the prime factorization of 3250

3250 = 2 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 3256

3256 = 2 x 2 x 2 x 11 x 37

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

LCM = 5291000 = 2 x 2 x 2 x 5 x 5 x 5 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 3250 and 3256 is 5291000.