Least Common Multiple of 3241 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 3241 and 3248 the smallest integer that is 1503824 that is divisible by both numbers.

Least Common Multiple (LCM) of 3241 and 3248 is 1503824.

LCM(3241,3248) = 1503824

LCM of 3241 and 3248

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

LCM of:
and

Least Common Multiple of 3241 and 3248

LCM of 3241 and 3248 is 1503824

Least common multiple can be found by multiplying the highest exponent prime factors of 3241 and 3248. First we will calculate the prime factors of 3241 and 3248.

Prime Factorization of 3241


7 3241
463 463
1

Prime factors of 3241 are 7,463. Prime factorization of 3241 in exponential form is:

3241 = 71×4631

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 3241 and 3248.

LCM(3241,3248) = 24×71×291×4631
LCM(3241,3248) = 1503824

Factors of 3241

List of positive integer factors of 3241 that divides 3241 without a remainder.

1, 7, 463, 3241

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 3241 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 3241 and 3248, than apply into the LCM equation.

GCF(3241,3248) = 7
LCM(3241,3248) = ( 3241 × 3248) / 7
LCM(3241,3248) = 10526768 / 7
LCM(3241,3248) = 1503824

Properties of LCM 3241 and 3248

(i) The LCM of 3248 and 3241 is associative

LCM of 3241 and 3248 = LCM of 3248 and 3241

Related Least Common Multiples of 3241

Related Least Common Multiples of 3248

Frequently Asked Questions on LCM of 3241 and 3248

1. What is the LCM of 3241 and 3248?

Answer: LCM of 3241 and 3248 is 1503824.

2. What are the Factors of 3241?

Answer: Factors of 3241 are 1, 7, 463, 3241. There are 4 integers that are factors of 3241. The greatest factor of 3241 is 3241.

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 3241 and 3248?

Answer:

Least Common Multiple of 3241 and 3248 = 1503824

Step 1: Find the prime factorization of 3241

3241 = 7 x 463

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 = 1503824 = 2 x 2 x 2 x 2 x 7 x 29 x 463

Step 4: Therefore, the least common multiple of 3241 and 3248 is 1503824.