Least Common Multiple of 9245 and 9249

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 9249 the smallest integer that is 85507005 that is divisible by both numbers.

Least Common Multiple (LCM) of 9245 and 9249 is 85507005.

LCM(9245,9249) = 85507005

LCM of 9245 and 9249

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

LCM of:
and

Least Common Multiple of 9245 and 9249

LCM of 9245 and 9249 is 85507005

Least common multiple can be found by multiplying the highest exponent prime factors of 9245 and 9249. First we will calculate the prime factors of 9245 and 9249.

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 9249


3 9249
3083 3083
1

Prime factors of 9249 are 3,3083. Prime factorization of 9249 in exponential form is:

9249 = 31×30831

Now multiplying the highest exponent prime factors to calculate the LCM of 9245 and 9249.

LCM(9245,9249) = 31×51×432×30831
LCM(9245,9249) = 85507005

Factors of 9245

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

1, 5, 43, 215, 1849, 9245

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1, 3, 3083, 9249

Least Common Multiple of 9245 and 9249 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 9249, than apply into the LCM equation.

GCF(9245,9249) = 1
LCM(9245,9249) = ( 9245 × 9249) / 1
LCM(9245,9249) = 85507005 / 1
LCM(9245,9249) = 85507005

Properties of LCM 9245 and 9249

(i) The LCM of 9249 and 9245 is associative

LCM of 9245 and 9249 = LCM of 9249 and 9245

Related Least Common Multiples of 9245

Related Least Common Multiples of 9249

Frequently Asked Questions on LCM of 9245 and 9249

1. What is the LCM of 9245 and 9249?

Answer: LCM of 9245 and 9249 is 85507005.

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 9249?

Answer: Factors of 9249 are 1, 3, 3083, 9249. There are 4 integers that are factors of 9249. The greatest factor of 9249 is 9249.

4. How to Find the LCM of 9245 and 9249?

Answer:

Least Common Multiple of 9245 and 9249 = 85507005

Step 1: Find the prime factorization of 9245

9245 = 5 x 43 x 43

Step 2: Find the prime factorization of 9249

9249 = 3 x 3083

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

LCM = 85507005 = 3 x 5 x 43 x 43 x 3083

Step 4: Therefore, the least common multiple of 9245 and 9249 is 85507005.