Least Common Multiple of 3248 and 3252

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 3252 the smallest integer that is 2640624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3248 and 3252 is 2640624.

LCM(3248,3252) = 2640624

LCM of 3248 and 3252

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

LCM of:
and

Least Common Multiple of 3248 and 3252

LCM of 3248 and 3252 is 2640624

Least common multiple can be found by multiplying the highest exponent prime factors of 3248 and 3252. First we will calculate the prime factors of 3248 and 3252.

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 3252


2 3252
2 1626
3 813
271 271
1

Prime factors of 3252 are 2, 3,271. Prime factorization of 3252 in exponential form is:

3252 = 22×31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 3248 and 3252.

LCM(3248,3252) = 24×31×71×291×2711
LCM(3248,3252) = 2640624

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 3252

List of positive integer factors of 3252 that divides 3252 without a remainder.

1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252

Least Common Multiple of 3248 and 3252 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 3252, than apply into the LCM equation.

GCF(3248,3252) = 4
LCM(3248,3252) = ( 3248 × 3252) / 4
LCM(3248,3252) = 10562496 / 4
LCM(3248,3252) = 2640624

Properties of LCM 3248 and 3252

(i) The LCM of 3252 and 3248 is associative

LCM of 3248 and 3252 = LCM of 3252 and 3248

Related Least Common Multiples of 3248

Related Least Common Multiples of 3252

Frequently Asked Questions on LCM of 3248 and 3252

1. What is the LCM of 3248 and 3252?

Answer: LCM of 3248 and 3252 is 2640624.

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 3252?

Answer: Factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252. There are 12 integers that are factors of 3252. The greatest factor of 3252 is 3252.

4. How to Find the LCM of 3248 and 3252?

Answer:

Least Common Multiple of 3248 and 3252 = 2640624

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 3252

3252 = 2 x 2 x 3 x 271

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

LCM = 2640624 = 2 x 2 x 2 x 2 x 3 x 7 x 29 x 271

Step 4: Therefore, the least common multiple of 3248 and 3252 is 2640624.