Least Common Multiple of 8250 and 8252

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 8252 the smallest integer that is 34039500 that is divisible by both numbers.

Least Common Multiple (LCM) of 8250 and 8252 is 34039500.

LCM(8250,8252) = 34039500

LCM of 8250 and 8252

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

LCM of:
and

Least Common Multiple of 8250 and 8252

LCM of 8250 and 8252 is 34039500

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8252. First we will calculate the prime factors of 8250 and 8252.

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 8252


2 8252
2 4126
2063 2063
1

Prime factors of 8252 are 2,2063. Prime factorization of 8252 in exponential form is:

8252 = 22×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8252.

LCM(8250,8252) = 22×31×53×111×20631
LCM(8250,8252) = 34039500

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 8252

List of positive integer factors of 8252 that divides 8252 without a remainder.

1, 2, 4, 2063, 4126, 8252

Least Common Multiple of 8250 and 8252 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 8252, than apply into the LCM equation.

GCF(8250,8252) = 2
LCM(8250,8252) = ( 8250 × 8252) / 2
LCM(8250,8252) = 68079000 / 2
LCM(8250,8252) = 34039500

Properties of LCM 8250 and 8252

(i) The LCM of 8252 and 8250 is associative

LCM of 8250 and 8252 = LCM of 8252 and 8250

Related Least Common Multiples of 8250

Related Least Common Multiples of 8252

Frequently Asked Questions on LCM of 8250 and 8252

1. What is the LCM of 8250 and 8252?

Answer: LCM of 8250 and 8252 is 34039500.

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 8252?

Answer: Factors of 8252 are 1, 2, 4, 2063, 4126, 8252. There are 6 integers that are factors of 8252. The greatest factor of 8252 is 8252.

4. How to Find the LCM of 8250 and 8252?

Answer:

Least Common Multiple of 8250 and 8252 = 34039500

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 8252

8252 = 2 x 2 x 2063

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

LCM = 34039500 = 2 x 2 x 3 x 5 x 5 x 5 x 11 x 2063

Step 4: Therefore, the least common multiple of 8250 and 8252 is 34039500.