Least Common Multiple of 9233 and 9237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9233 and 9237 the smallest integer that is 85285221 that is divisible by both numbers.

Least Common Multiple (LCM) of 9233 and 9237 is 85285221.

LCM(9233,9237) = 85285221

LCM of 9233 and 9237

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

LCM of:
and

Least Common Multiple of 9233 and 9237

LCM of 9233 and 9237 is 85285221

Least common multiple can be found by multiplying the highest exponent prime factors of 9233 and 9237. First we will calculate the prime factors of 9233 and 9237.

Prime Factorization of 9233


7 9233
1319 1319
1

Prime factors of 9233 are 7,1319. Prime factorization of 9233 in exponential form is:

9233 = 71×13191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9233 and 9237.

LCM(9233,9237) = 31×71×13191×30791
LCM(9233,9237) = 85285221

Factors of 9233

List of positive integer factors of 9233 that divides 9233 without a remainder.

1, 7, 1319, 9233

Factors of 9237

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

1, 3, 3079, 9237

Least Common Multiple of 9233 and 9237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9233 and 9237, than apply into the LCM equation.

GCF(9233,9237) = 1
LCM(9233,9237) = ( 9233 × 9237) / 1
LCM(9233,9237) = 85285221 / 1
LCM(9233,9237) = 85285221

Properties of LCM 9233 and 9237

(i) The LCM of 9237 and 9233 is associative

LCM of 9233 and 9237 = LCM of 9237 and 9233

Related Least Common Multiples of 9233

Related Least Common Multiples of 9237

Frequently Asked Questions on LCM of 9233 and 9237

1. What is the LCM of 9233 and 9237?

Answer: LCM of 9233 and 9237 is 85285221.

2. What are the Factors of 9233?

Answer: Factors of 9233 are 1, 7, 1319, 9233. There are 4 integers that are factors of 9233. The greatest factor of 9233 is 9233.

3. 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.

4. How to Find the LCM of 9233 and 9237?

Answer:

Least Common Multiple of 9233 and 9237 = 85285221

Step 1: Find the prime factorization of 9233

9233 = 7 x 1319

Step 2: Find the prime factorization of 9237

9237 = 3 x 3079

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

LCM = 85285221 = 3 x 7 x 1319 x 3079

Step 4: Therefore, the least common multiple of 9233 and 9237 is 85285221.