Least Common Multiple of 3244 and 3248

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 3248 the smallest integer that is 2634128 that is divisible by both numbers.

Least Common Multiple (LCM) of 3244 and 3248 is 2634128.

LCM(3244,3248) = 2634128

LCM of 3244 and 3248

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

LCM of:
and

Least Common Multiple of 3244 and 3248

LCM of 3244 and 3248 is 2634128

Least common multiple can be found by multiplying the highest exponent prime factors of 3244 and 3248. First we will calculate the prime factors of 3244 and 3248.

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 3248


2 3248
2 1624
2 812
2 406
7 203
29 29
1

Prime factors of 3248 are 2, 7,29. Prime factorization of 3248 in exponential form is:

3248 = 24×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3244 and 3248.

LCM(3244,3248) = 24×71×291×8111
LCM(3244,3248) = 2634128

Factors of 3244

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

1, 2, 4, 811, 1622, 3244

Factors of 3248

List of positive integer factors of 3248 that divides 3248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248

Least Common Multiple of 3244 and 3248 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 3248, than apply into the LCM equation.

GCF(3244,3248) = 4
LCM(3244,3248) = ( 3244 × 3248) / 4
LCM(3244,3248) = 10536512 / 4
LCM(3244,3248) = 2634128

Properties of LCM 3244 and 3248

(i) The LCM of 3248 and 3244 is associative

LCM of 3244 and 3248 = LCM of 3248 and 3244

Related Least Common Multiples of 3244

Related Least Common Multiples of 3248

Frequently Asked Questions on LCM of 3244 and 3248

1. What is the LCM of 3244 and 3248?

Answer: LCM of 3244 and 3248 is 2634128.

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 3248?

Answer: Factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248. There are 20 integers that are factors of 3248. The greatest factor of 3248 is 3248.

4. How to Find the LCM of 3244 and 3248?

Answer:

Least Common Multiple of 3244 and 3248 = 2634128

Step 1: Find the prime factorization of 3244

3244 = 2 x 2 x 811

Step 2: Find the prime factorization of 3248

3248 = 2 x 2 x 2 x 2 x 7 x 29

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

LCM = 2634128 = 2 x 2 x 2 x 2 x 7 x 29 x 811

Step 4: Therefore, the least common multiple of 3244 and 3248 is 2634128.