Least Common Multiple of 3250 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 3250 and 3255 the smallest integer that is 2115750 that is divisible by both numbers.

Least Common Multiple (LCM) of 3250 and 3255 is 2115750.

LCM(3250,3255) = 2115750

LCM of 3250 and 3255

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

LCM of:
and

Least Common Multiple of 3250 and 3255

LCM of 3250 and 3255 is 2115750

Least common multiple can be found by multiplying the highest exponent prime factors of 3250 and 3255. First we will calculate the prime factors of 3250 and 3255.

Prime Factorization of 3250


2 3250
5 1625
5 325
5 65
13 13
1

Prime factors of 3250 are 2, 5,13. Prime factorization of 3250 in exponential form is:

3250 = 21×53×131

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 3250 and 3255.

LCM(3250,3255) = 21×31×53×71×131×311
LCM(3250,3255) = 2115750

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250

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 3250 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 3250 and 3255, than apply into the LCM equation.

GCF(3250,3255) = 5
LCM(3250,3255) = ( 3250 × 3255) / 5
LCM(3250,3255) = 10578750 / 5
LCM(3250,3255) = 2115750

Properties of LCM 3250 and 3255

(i) The LCM of 3255 and 3250 is associative

LCM of 3250 and 3255 = LCM of 3255 and 3250

Related Least Common Multiples of 3250

Related Least Common Multiples of 3255

Frequently Asked Questions on LCM of 3250 and 3255

1. What is the LCM of 3250 and 3255?

Answer: LCM of 3250 and 3255 is 2115750.

2. What are the Factors of 3250?

Answer: Factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250. There are 16 integers that are factors of 3250. The greatest factor of 3250 is 3250.

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 3250 and 3255?

Answer:

Least Common Multiple of 3250 and 3255 = 2115750

Step 1: Find the prime factorization of 3250

3250 = 2 x 5 x 5 x 5 x 13

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 = 2115750 = 2 x 3 x 5 x 5 x 5 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 3250 and 3255 is 2115750.