Least Common Multiple of 9245 and 9250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9245 and 9250 the smallest integer that is 17103250 that is divisible by both numbers.

Least Common Multiple (LCM) of 9245 and 9250 is 17103250.

LCM(9245,9250) = 17103250

LCM of 9245 and 9250

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

LCM of:
and

Least Common Multiple of 9245 and 9250

LCM of 9245 and 9250 is 17103250

Least common multiple can be found by multiplying the highest exponent prime factors of 9245 and 9250. First we will calculate the prime factors of 9245 and 9250.

Prime Factorization of 9245


5 9245
43 1849
43 43
1

Prime factors of 9245 are 5,43. Prime factorization of 9245 in exponential form is:

9245 = 51×432

Prime Factorization of 9250


2 9250
5 4625
5 925
5 185
37 37
1

Prime factors of 9250 are 2, 5,37. Prime factorization of 9250 in exponential form is:

9250 = 21×53×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9245 and 9250.

LCM(9245,9250) = 21×53×371×432
LCM(9245,9250) = 17103250

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1, 5, 43, 215, 1849, 9245

Factors of 9250

List of positive integer factors of 9250 that divides 9250 without a remainder.

1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250

Least Common Multiple of 9245 and 9250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9245 and 9250, than apply into the LCM equation.

GCF(9245,9250) = 5
LCM(9245,9250) = ( 9245 × 9250) / 5
LCM(9245,9250) = 85516250 / 5
LCM(9245,9250) = 17103250

Properties of LCM 9245 and 9250

(i) The LCM of 9250 and 9245 is associative

LCM of 9245 and 9250 = LCM of 9250 and 9245

Related Least Common Multiples of 9245

Related Least Common Multiples of 9250

Frequently Asked Questions on LCM of 9245 and 9250

1. What is the LCM of 9245 and 9250?

Answer: LCM of 9245 and 9250 is 17103250.

2. What are the Factors of 9245?

Answer: Factors of 9245 are 1, 5, 43, 215, 1849, 9245. There are 6 integers that are factors of 9245. The greatest factor of 9245 is 9245.

3. What are the Factors of 9250?

Answer: Factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250. There are 16 integers that are factors of 9250. The greatest factor of 9250 is 9250.

4. How to Find the LCM of 9245 and 9250?

Answer:

Least Common Multiple of 9245 and 9250 = 17103250

Step 1: Find the prime factorization of 9245

9245 = 5 x 43 x 43

Step 2: Find the prime factorization of 9250

9250 = 2 x 5 x 5 x 5 x 37

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

LCM = 17103250 = 2 x 5 x 5 x 5 x 37 x 43 x 43

Step 4: Therefore, the least common multiple of 9245 and 9250 is 17103250.