Least Common Multiple of 9237 and 9241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9237 and 9241 the smallest integer that is 85359117 that is divisible by both numbers.

Least Common Multiple (LCM) of 9237 and 9241 is 85359117.

LCM(9237,9241) = 85359117

LCM of 9237 and 9241

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

LCM of:
and

Least Common Multiple of 9237 and 9241

LCM of 9237 and 9241 is 85359117

Least common multiple can be found by multiplying the highest exponent prime factors of 9237 and 9241. First we will calculate the prime factors of 9237 and 9241.

Prime Factorization of 9237


3 9237
3079 3079
1

Prime factors of 9237 are 3,3079. Prime factorization of 9237 in exponential form is:

9237 = 31×30791

Prime Factorization of 9241


9241 9241
1

Prime factors of 9241 are 9241. Prime factorization of 9241 in exponential form is:

9241 = 92411

Now multiplying the highest exponent prime factors to calculate the LCM of 9237 and 9241.

LCM(9237,9241) = 31×30791×92411
LCM(9237,9241) = 85359117

Factors of 9237

List of positive integer factors of 9237 that divides 9237 without a remainder.

1, 3, 3079, 9237

Factors of 9241

List of positive integer factors of 9241 that divides 9241 without a remainder.

1, 9241

Least Common Multiple of 9237 and 9241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9237 and 9241, than apply into the LCM equation.

GCF(9237,9241) = 1
LCM(9237,9241) = ( 9237 × 9241) / 1
LCM(9237,9241) = 85359117 / 1
LCM(9237,9241) = 85359117

Properties of LCM 9237 and 9241

(i) The LCM of 9241 and 9237 is associative

LCM of 9237 and 9241 = LCM of 9241 and 9237

Related Least Common Multiples of 9237

Related Least Common Multiples of 9241

Frequently Asked Questions on LCM of 9237 and 9241

1. What is the LCM of 9237 and 9241?

Answer: LCM of 9237 and 9241 is 85359117.

2. What are the Factors of 9237?

Answer: Factors of 9237 are 1, 3, 3079, 9237. There are 4 integers that are factors of 9237. The greatest factor of 9237 is 9237.

3. What are the Factors of 9241?

Answer: Factors of 9241 are 1, 9241. There are 2 integers that are factors of 9241. The greatest factor of 9241 is 9241.

4. How to Find the LCM of 9237 and 9241?

Answer:

Least Common Multiple of 9237 and 9241 = 85359117

Step 1: Find the prime factorization of 9237

9237 = 3 x 3079

Step 2: Find the prime factorization of 9241

9241 = 9241

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

LCM = 85359117 = 3 x 3079 x 9241

Step 4: Therefore, the least common multiple of 9237 and 9241 is 85359117.