Least Common Multiple of 8250 and 8256

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 8256 the smallest integer that is 11352000 that is divisible by both numbers.

Least Common Multiple (LCM) of 8250 and 8256 is 11352000.

LCM(8250,8256) = 11352000

LCM of 8250 and 8256

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

LCM of:
and

Least Common Multiple of 8250 and 8256

LCM of 8250 and 8256 is 11352000

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8256. First we will calculate the prime factors of 8250 and 8256.

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 8256


2 8256
2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 8256 are 2, 3,43. Prime factorization of 8256 in exponential form is:

8256 = 26×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8256.

LCM(8250,8256) = 26×31×53×111×431
LCM(8250,8256) = 11352000

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 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256

Least Common Multiple of 8250 and 8256 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 8256, than apply into the LCM equation.

GCF(8250,8256) = 6
LCM(8250,8256) = ( 8250 × 8256) / 6
LCM(8250,8256) = 68112000 / 6
LCM(8250,8256) = 11352000

Properties of LCM 8250 and 8256

(i) The LCM of 8256 and 8250 is associative

LCM of 8250 and 8256 = LCM of 8256 and 8250

Related Least Common Multiples of 8250

Related Least Common Multiples of 8256

Frequently Asked Questions on LCM of 8250 and 8256

1. What is the LCM of 8250 and 8256?

Answer: LCM of 8250 and 8256 is 11352000.

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 8256?

Answer: Factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256. There are 28 integers that are factors of 8256. The greatest factor of 8256 is 8256.

4. How to Find the LCM of 8250 and 8256?

Answer:

Least Common Multiple of 8250 and 8256 = 11352000

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 8256

8256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43

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

LCM = 11352000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 x 43

Step 4: Therefore, the least common multiple of 8250 and 8256 is 11352000.