Least Common Multiple of 8250 and 8253

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 8253 the smallest integer that is 22695750 that is divisible by both numbers.

Least Common Multiple (LCM) of 8250 and 8253 is 22695750.

LCM(8250,8253) = 22695750

LCM of 8250 and 8253

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

LCM of:
and

Least Common Multiple of 8250 and 8253

LCM of 8250 and 8253 is 22695750

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8253. First we will calculate the prime factors of 8250 and 8253.

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 8253


3 8253
3 2751
7 917
131 131
1

Prime factors of 8253 are 3, 7,131. Prime factorization of 8253 in exponential form is:

8253 = 32×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8253.

LCM(8250,8253) = 21×32×53×71×111×1311
LCM(8250,8253) = 22695750

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 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253

Least Common Multiple of 8250 and 8253 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 8253, than apply into the LCM equation.

GCF(8250,8253) = 3
LCM(8250,8253) = ( 8250 × 8253) / 3
LCM(8250,8253) = 68087250 / 3
LCM(8250,8253) = 22695750

Properties of LCM 8250 and 8253

(i) The LCM of 8253 and 8250 is associative

LCM of 8250 and 8253 = LCM of 8253 and 8250

Related Least Common Multiples of 8250

Related Least Common Multiples of 8253

Frequently Asked Questions on LCM of 8250 and 8253

1. What is the LCM of 8250 and 8253?

Answer: LCM of 8250 and 8253 is 22695750.

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 8253?

Answer: Factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253. There are 12 integers that are factors of 8253. The greatest factor of 8253 is 8253.

4. How to Find the LCM of 8250 and 8253?

Answer:

Least Common Multiple of 8250 and 8253 = 22695750

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 8253

8253 = 3 x 3 x 7 x 131

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

LCM = 22695750 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 11 x 131

Step 4: Therefore, the least common multiple of 8250 and 8253 is 22695750.