Least Common Multiple of 3255 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 3255 and 3260 the smallest integer that is 2122260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3255 and 3260 is 2122260.

LCM(3255,3260) = 2122260

LCM of 3255 and 3260

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

LCM of:
and

Least Common Multiple of 3255 and 3260

LCM of 3255 and 3260 is 2122260

Least common multiple can be found by multiplying the highest exponent prime factors of 3255 and 3260. First we will calculate the prime factors of 3255 and 3260.

Prime Factorization of 3255


3 3255
5 1085
7 217
31 31
1

Prime factors of 3255 are 3, 5, 7,31. Prime factorization of 3255 in exponential form is:

3255 = 31×51×71×311

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 3255 and 3260.

LCM(3255,3260) = 22×31×51×71×311×1631
LCM(3255,3260) = 2122260

Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255

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 3255 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 3255 and 3260, than apply into the LCM equation.

GCF(3255,3260) = 5
LCM(3255,3260) = ( 3255 × 3260) / 5
LCM(3255,3260) = 10611300 / 5
LCM(3255,3260) = 2122260

Properties of LCM 3255 and 3260

(i) The LCM of 3260 and 3255 is associative

LCM of 3255 and 3260 = LCM of 3260 and 3255

Related Least Common Multiples of 3255

Related Least Common Multiples of 3260

Frequently Asked Questions on LCM of 3255 and 3260

1. What is the LCM of 3255 and 3260?

Answer: LCM of 3255 and 3260 is 2122260.

2. What are the Factors of 3255?

Answer: Factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255. There are 16 integers that are factors of 3255. The greatest factor of 3255 is 3255.

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 3255 and 3260?

Answer:

Least Common Multiple of 3255 and 3260 = 2122260

Step 1: Find the prime factorization of 3255

3255 = 3 x 5 x 7 x 31

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 = 2122260 = 2 x 2 x 3 x 5 x 7 x 31 x 163

Step 4: Therefore, the least common multiple of 3255 and 3260 is 2122260.