Least Common Multiple of 9250 and 9254

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 9254 the smallest integer that is 42799750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9250 and 9254 is 42799750.

LCM(9250,9254) = 42799750

LCM of 9250 and 9254

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

LCM of:
and

Least Common Multiple of 9250 and 9254

LCM of 9250 and 9254 is 42799750

Least common multiple can be found by multiplying the highest exponent prime factors of 9250 and 9254. First we will calculate the prime factors of 9250 and 9254.

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 9254


2 9254
7 4627
661 661
1

Prime factors of 9254 are 2, 7,661. Prime factorization of 9254 in exponential form is:

9254 = 21×71×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 9250 and 9254.

LCM(9250,9254) = 21×53×71×371×6611
LCM(9250,9254) = 42799750

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 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1, 2, 7, 14, 661, 1322, 4627, 9254

Least Common Multiple of 9250 and 9254 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 9254, than apply into the LCM equation.

GCF(9250,9254) = 2
LCM(9250,9254) = ( 9250 × 9254) / 2
LCM(9250,9254) = 85599500 / 2
LCM(9250,9254) = 42799750

Properties of LCM 9250 and 9254

(i) The LCM of 9254 and 9250 is associative

LCM of 9250 and 9254 = LCM of 9254 and 9250

Related Least Common Multiples of 9250

Related Least Common Multiples of 9254

Frequently Asked Questions on LCM of 9250 and 9254

1. What is the LCM of 9250 and 9254?

Answer: LCM of 9250 and 9254 is 42799750.

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 9254?

Answer: Factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254. There are 8 integers that are factors of 9254. The greatest factor of 9254 is 9254.

4. How to Find the LCM of 9250 and 9254?

Answer:

Least Common Multiple of 9250 and 9254 = 42799750

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 9254

9254 = 2 x 7 x 661

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

LCM = 42799750 = 2 x 5 x 5 x 5 x 7 x 37 x 661

Step 4: Therefore, the least common multiple of 9250 and 9254 is 42799750.