Least Common Multiple of 8250 and 8255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8250 and 8255 the smallest integer that is 13620750 that is divisible by both numbers.

Least Common Multiple (LCM) of 8250 and 8255 is 13620750.

LCM(8250,8255) = 13620750

LCM of 8250 and 8255

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

LCM of:
and

Least Common Multiple of 8250 and 8255

LCM of 8250 and 8255 is 13620750

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8255. First we will calculate the prime factors of 8250 and 8255.

Prime Factorization of 8250


2 8250
3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 8250 are 2, 3, 5,11. Prime factorization of 8250 in exponential form is:

8250 = 21×31×53×111

Prime Factorization of 8255


5 8255
13 1651
127 127
1

Prime factors of 8255 are 5, 13,127. Prime factorization of 8255 in exponential form is:

8255 = 51×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8255.

LCM(8250,8255) = 21×31×53×111×131×1271
LCM(8250,8255) = 13620750

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250

Factors of 8255

List of positive integer factors of 8255 that divides 8255 without a remainder.

1, 5, 13, 65, 127, 635, 1651, 8255

Least Common Multiple of 8250 and 8255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8250 and 8255, than apply into the LCM equation.

GCF(8250,8255) = 5
LCM(8250,8255) = ( 8250 × 8255) / 5
LCM(8250,8255) = 68103750 / 5
LCM(8250,8255) = 13620750

Properties of LCM 8250 and 8255

(i) The LCM of 8255 and 8250 is associative

LCM of 8250 and 8255 = LCM of 8255 and 8250

Related Least Common Multiples of 8250

Related Least Common Multiples of 8255

Frequently Asked Questions on LCM of 8250 and 8255

1. What is the LCM of 8250 and 8255?

Answer: LCM of 8250 and 8255 is 13620750.

2. What are the Factors of 8250?

Answer: Factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250. There are 32 integers that are factors of 8250. The greatest factor of 8250 is 8250.

3. What are the Factors of 8255?

Answer: Factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255. There are 8 integers that are factors of 8255. The greatest factor of 8255 is 8255.

4. How to Find the LCM of 8250 and 8255?

Answer:

Least Common Multiple of 8250 and 8255 = 13620750

Step 1: Find the prime factorization of 8250

8250 = 2 x 3 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 8255

8255 = 5 x 13 x 127

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

LCM = 13620750 = 2 x 3 x 5 x 5 x 5 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 8250 and 8255 is 13620750.