Least Common Multiple of 9250 and 9255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9250 and 9255 the smallest integer that is 17121750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9250 and 9255 is 17121750.

LCM(9250,9255) = 17121750

LCM of 9250 and 9255

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

LCM of:
and

Least Common Multiple of 9250 and 9255

LCM of 9250 and 9255 is 17121750

Least common multiple can be found by multiplying the highest exponent prime factors of 9250 and 9255. First we will calculate the prime factors of 9250 and 9255.

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

Prime Factorization of 9255


3 9255
5 3085
617 617
1

Prime factors of 9255 are 3, 5,617. Prime factorization of 9255 in exponential form is:

9255 = 31×51×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 9250 and 9255.

LCM(9250,9255) = 21×31×53×371×6171
LCM(9250,9255) = 17121750

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

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1, 3, 5, 15, 617, 1851, 3085, 9255

Least Common Multiple of 9250 and 9255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9250 and 9255, than apply into the LCM equation.

GCF(9250,9255) = 5
LCM(9250,9255) = ( 9250 × 9255) / 5
LCM(9250,9255) = 85608750 / 5
LCM(9250,9255) = 17121750

Properties of LCM 9250 and 9255

(i) The LCM of 9255 and 9250 is associative

LCM of 9250 and 9255 = LCM of 9255 and 9250

Related Least Common Multiples of 9250

Related Least Common Multiples of 9255

Frequently Asked Questions on LCM of 9250 and 9255

1. What is the LCM of 9250 and 9255?

Answer: LCM of 9250 and 9255 is 17121750.

2. 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.

3. What are the Factors of 9255?

Answer: Factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255. There are 8 integers that are factors of 9255. The greatest factor of 9255 is 9255.

4. How to Find the LCM of 9250 and 9255?

Answer:

Least Common Multiple of 9250 and 9255 = 17121750

Step 1: Find the prime factorization of 9250

9250 = 2 x 5 x 5 x 5 x 37

Step 2: Find the prime factorization of 9255

9255 = 3 x 5 x 617

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

LCM = 17121750 = 2 x 3 x 5 x 5 x 5 x 37 x 617

Step 4: Therefore, the least common multiple of 9250 and 9255 is 17121750.