Least Common Multiple of 3248 and 3254

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 3254 the smallest integer that is 5284496 that is divisible by both numbers.

Least Common Multiple (LCM) of 3248 and 3254 is 5284496.

LCM(3248,3254) = 5284496

LCM of 3248 and 3254

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

LCM of:
and

Least Common Multiple of 3248 and 3254

LCM of 3248 and 3254 is 5284496

Least common multiple can be found by multiplying the highest exponent prime factors of 3248 and 3254. First we will calculate the prime factors of 3248 and 3254.

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 3254


2 3254
1627 1627
1

Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:

3254 = 21×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 3248 and 3254.

LCM(3248,3254) = 24×71×291×16271
LCM(3248,3254) = 5284496

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 3254

List of positive integer factors of 3254 that divides 3254 without a remainder.

1, 2, 1627, 3254

Least Common Multiple of 3248 and 3254 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 3254, than apply into the LCM equation.

GCF(3248,3254) = 2
LCM(3248,3254) = ( 3248 × 3254) / 2
LCM(3248,3254) = 10568992 / 2
LCM(3248,3254) = 5284496

Properties of LCM 3248 and 3254

(i) The LCM of 3254 and 3248 is associative

LCM of 3248 and 3254 = LCM of 3254 and 3248

Related Least Common Multiples of 3248

Related Least Common Multiples of 3254

Frequently Asked Questions on LCM of 3248 and 3254

1. What is the LCM of 3248 and 3254?

Answer: LCM of 3248 and 3254 is 5284496.

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 3254?

Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.

4. How to Find the LCM of 3248 and 3254?

Answer:

Least Common Multiple of 3248 and 3254 = 5284496

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 3254

3254 = 2 x 1627

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

LCM = 5284496 = 2 x 2 x 2 x 2 x 7 x 29 x 1627

Step 4: Therefore, the least common multiple of 3248 and 3254 is 5284496.