Least Common Multiple of 3251 and 3255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3251 and 3255 the smallest integer that is 10582005 that is divisible by both numbers.

Least Common Multiple (LCM) of 3251 and 3255 is 10582005.

LCM(3251,3255) = 10582005

LCM of 3251 and 3255

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

LCM of:
and

Least Common Multiple of 3251 and 3255

LCM of 3251 and 3255 is 10582005

Least common multiple can be found by multiplying the highest exponent prime factors of 3251 and 3255. First we will calculate the prime factors of 3251 and 3255.

Prime Factorization of 3251


3251 3251
1

Prime factors of 3251 are 3251. Prime factorization of 3251 in exponential form is:

3251 = 32511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3251 and 3255.

LCM(3251,3255) = 31×51×71×311×32511
LCM(3251,3255) = 10582005

Factors of 3251

List of positive integer factors of 3251 that divides 3251 without a remainder.

1, 3251

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

Least Common Multiple of 3251 and 3255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3251 and 3255, than apply into the LCM equation.

GCF(3251,3255) = 1
LCM(3251,3255) = ( 3251 × 3255) / 1
LCM(3251,3255) = 10582005 / 1
LCM(3251,3255) = 10582005

Properties of LCM 3251 and 3255

(i) The LCM of 3255 and 3251 is associative

LCM of 3251 and 3255 = LCM of 3255 and 3251

Related Least Common Multiples of 3251

Related Least Common Multiples of 3255

Frequently Asked Questions on LCM of 3251 and 3255

1. What is the LCM of 3251 and 3255?

Answer: LCM of 3251 and 3255 is 10582005.

2. What are the Factors of 3251?

Answer: Factors of 3251 are 1, 3251. There are 2 integers that are factors of 3251. The greatest factor of 3251 is 3251.

3. 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.

4. How to Find the LCM of 3251 and 3255?

Answer:

Least Common Multiple of 3251 and 3255 = 10582005

Step 1: Find the prime factorization of 3251

3251 = 3251

Step 2: Find the prime factorization of 3255

3255 = 3 x 5 x 7 x 31

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

LCM = 10582005 = 3 x 5 x 7 x 31 x 3251

Step 4: Therefore, the least common multiple of 3251 and 3255 is 10582005.