Least Common Multiple of 3248 and 3253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3248 and 3253 the smallest integer that is 10565744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3248 and 3253 is 10565744.

LCM(3248,3253) = 10565744

LCM of 3248 and 3253

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

LCM of:
and

Least Common Multiple of 3248 and 3253

LCM of 3248 and 3253 is 10565744

Least common multiple can be found by multiplying the highest exponent prime factors of 3248 and 3253. First we will calculate the prime factors of 3248 and 3253.

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

Prime Factorization of 3253


3253 3253
1

Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:

3253 = 32531

Now multiplying the highest exponent prime factors to calculate the LCM of 3248 and 3253.

LCM(3248,3253) = 24×71×291×32531
LCM(3248,3253) = 10565744

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

Factors of 3253

List of positive integer factors of 3253 that divides 3253 without a remainder.

1, 3253

Least Common Multiple of 3248 and 3253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3248 and 3253, than apply into the LCM equation.

GCF(3248,3253) = 1
LCM(3248,3253) = ( 3248 × 3253) / 1
LCM(3248,3253) = 10565744 / 1
LCM(3248,3253) = 10565744

Properties of LCM 3248 and 3253

(i) The LCM of 3253 and 3248 is associative

LCM of 3248 and 3253 = LCM of 3253 and 3248

Related Least Common Multiples of 3248

Related Least Common Multiples of 3253

Frequently Asked Questions on LCM of 3248 and 3253

1. What is the LCM of 3248 and 3253?

Answer: LCM of 3248 and 3253 is 10565744.

2. 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.

3. What are the Factors of 3253?

Answer: Factors of 3253 are 1, 3253. There are 2 integers that are factors of 3253. The greatest factor of 3253 is 3253.

4. How to Find the LCM of 3248 and 3253?

Answer:

Least Common Multiple of 3248 and 3253 = 10565744

Step 1: Find the prime factorization of 3248

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

Step 2: Find the prime factorization of 3253

3253 = 3253

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

LCM = 10565744 = 2 x 2 x 2 x 2 x 7 x 29 x 3253

Step 4: Therefore, the least common multiple of 3248 and 3253 is 10565744.