Least Common Multiple of 3254 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 3254 and 3260 the smallest integer that is 5304020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3254 and 3260 is 5304020.

LCM(3254,3260) = 5304020

LCM of 3254 and 3260

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

LCM of:
and

Least Common Multiple of 3254 and 3260

LCM of 3254 and 3260 is 5304020

Least common multiple can be found by multiplying the highest exponent prime factors of 3254 and 3260. First we will calculate the prime factors of 3254 and 3260.

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

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 3254 and 3260.

LCM(3254,3260) = 22×51×1631×16271
LCM(3254,3260) = 5304020

Factors of 3254

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

1, 2, 1627, 3254

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 3254 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 3254 and 3260, than apply into the LCM equation.

GCF(3254,3260) = 2
LCM(3254,3260) = ( 3254 × 3260) / 2
LCM(3254,3260) = 10608040 / 2
LCM(3254,3260) = 5304020

Properties of LCM 3254 and 3260

(i) The LCM of 3260 and 3254 is associative

LCM of 3254 and 3260 = LCM of 3260 and 3254

Related Least Common Multiples of 3254

Related Least Common Multiples of 3260

Frequently Asked Questions on LCM of 3254 and 3260

1. What is the LCM of 3254 and 3260?

Answer: LCM of 3254 and 3260 is 5304020.

2. 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.

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 3254 and 3260?

Answer:

Least Common Multiple of 3254 and 3260 = 5304020

Step 1: Find the prime factorization of 3254

3254 = 2 x 1627

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 = 5304020 = 2 x 2 x 5 x 163 x 1627

Step 4: Therefore, the least common multiple of 3254 and 3260 is 5304020.