Least Common Multiple of 9233 and 9240

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 9240 the smallest integer that is 12187560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9233 and 9240 is 12187560.

LCM(9233,9240) = 12187560

LCM of 9233 and 9240

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

LCM of:
and

Least Common Multiple of 9233 and 9240

LCM of 9233 and 9240 is 12187560

Least common multiple can be found by multiplying the highest exponent prime factors of 9233 and 9240. First we will calculate the prime factors of 9233 and 9240.

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 9240


2 9240
2 4620
2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 9240 are 2, 3, 5, 7,11. Prime factorization of 9240 in exponential form is:

9240 = 23×31×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 9233 and 9240.

LCM(9233,9240) = 23×31×51×71×111×13191
LCM(9233,9240) = 12187560

Factors of 9233

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

1, 7, 1319, 9233

Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240

Least Common Multiple of 9233 and 9240 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 9240, than apply into the LCM equation.

GCF(9233,9240) = 7
LCM(9233,9240) = ( 9233 × 9240) / 7
LCM(9233,9240) = 85312920 / 7
LCM(9233,9240) = 12187560

Properties of LCM 9233 and 9240

(i) The LCM of 9240 and 9233 is associative

LCM of 9233 and 9240 = LCM of 9240 and 9233

Related Least Common Multiples of 9233

Related Least Common Multiples of 9240

Frequently Asked Questions on LCM of 9233 and 9240

1. What is the LCM of 9233 and 9240?

Answer: LCM of 9233 and 9240 is 12187560.

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 9240?

Answer: Factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240. There are 64 integers that are factors of 9240. The greatest factor of 9240 is 9240.

4. How to Find the LCM of 9233 and 9240?

Answer:

Least Common Multiple of 9233 and 9240 = 12187560

Step 1: Find the prime factorization of 9233

9233 = 7 x 1319

Step 2: Find the prime factorization of 9240

9240 = 2 x 2 x 2 x 3 x 5 x 7 x 11

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

LCM = 12187560 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 1319

Step 4: Therefore, the least common multiple of 9233 and 9240 is 12187560.