Least Common Multiple of 9246 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 9246 and 9250 the smallest integer that is 42762750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9246 and 9250 is 42762750.

LCM(9246,9250) = 42762750

LCM of 9246 and 9250

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

LCM of:
and

Least Common Multiple of 9246 and 9250

LCM of 9246 and 9250 is 42762750

Least common multiple can be found by multiplying the highest exponent prime factors of 9246 and 9250. First we will calculate the prime factors of 9246 and 9250.

Prime Factorization of 9246


2 9246
3 4623
23 1541
67 67
1

Prime factors of 9246 are 2, 3, 23,67. Prime factorization of 9246 in exponential form is:

9246 = 21×31×231×671

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 9246 and 9250.

LCM(9246,9250) = 21×31×53×231×371×671
LCM(9246,9250) = 42762750

Factors of 9246

List of positive integer factors of 9246 that divides 9246 without a remainder.

1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246

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 9246 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 9246 and 9250, than apply into the LCM equation.

GCF(9246,9250) = 2
LCM(9246,9250) = ( 9246 × 9250) / 2
LCM(9246,9250) = 85525500 / 2
LCM(9246,9250) = 42762750

Properties of LCM 9246 and 9250

(i) The LCM of 9250 and 9246 is associative

LCM of 9246 and 9250 = LCM of 9250 and 9246

Related Least Common Multiples of 9246

Related Least Common Multiples of 9250

Frequently Asked Questions on LCM of 9246 and 9250

1. What is the LCM of 9246 and 9250?

Answer: LCM of 9246 and 9250 is 42762750.

2. What are the Factors of 9246?

Answer: Factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246. There are 16 integers that are factors of 9246. The greatest factor of 9246 is 9246.

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 9246 and 9250?

Answer:

Least Common Multiple of 9246 and 9250 = 42762750

Step 1: Find the prime factorization of 9246

9246 = 2 x 3 x 23 x 67

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 = 42762750 = 2 x 3 x 5 x 5 x 5 x 23 x 37 x 67

Step 4: Therefore, the least common multiple of 9246 and 9250 is 42762750.