Least Common Multiple of 3253 and 3260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3253 and 3260 the smallest integer that is 10604780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3253 and 3260 is 10604780.

LCM(3253,3260) = 10604780

LCM of 3253 and 3260

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

LCM of:
and

Least Common Multiple of 3253 and 3260

LCM of 3253 and 3260 is 10604780

Least common multiple can be found by multiplying the highest exponent prime factors of 3253 and 3260. First we will calculate the prime factors of 3253 and 3260.

Prime Factorization of 3253


3253 3253
1

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

3253 = 32531

Prime Factorization of 3260


2 3260
2 1630
5 815
163 163
1

Prime factors of 3260 are 2, 5,163. Prime factorization of 3260 in exponential form is:

3260 = 22×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 3253 and 3260.

LCM(3253,3260) = 22×51×1631×32531
LCM(3253,3260) = 10604780

Factors of 3253

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

1, 3253

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260

Least Common Multiple of 3253 and 3260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3253 and 3260, than apply into the LCM equation.

GCF(3253,3260) = 1
LCM(3253,3260) = ( 3253 × 3260) / 1
LCM(3253,3260) = 10604780 / 1
LCM(3253,3260) = 10604780

Properties of LCM 3253 and 3260

(i) The LCM of 3260 and 3253 is associative

LCM of 3253 and 3260 = LCM of 3260 and 3253

Related Least Common Multiples of 3253

Related Least Common Multiples of 3260

Frequently Asked Questions on LCM of 3253 and 3260

1. What is the LCM of 3253 and 3260?

Answer: LCM of 3253 and 3260 is 10604780.

2. 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.

3. What are the Factors of 3260?

Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.

4. How to Find the LCM of 3253 and 3260?

Answer:

Least Common Multiple of 3253 and 3260 = 10604780

Step 1: Find the prime factorization of 3253

3253 = 3253

Step 2: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

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

LCM = 10604780 = 2 x 2 x 5 x 163 x 3253

Step 4: Therefore, the least common multiple of 3253 and 3260 is 10604780.