Least Common Multiple of 9232 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 9232 and 9240 the smallest integer that is 10662960 that is divisible by both numbers.

Least Common Multiple (LCM) of 9232 and 9240 is 10662960.

LCM(9232,9240) = 10662960

LCM of 9232 and 9240

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

LCM of:
and

Least Common Multiple of 9232 and 9240

LCM of 9232 and 9240 is 10662960

Least common multiple can be found by multiplying the highest exponent prime factors of 9232 and 9240. First we will calculate the prime factors of 9232 and 9240.

Prime Factorization of 9232


2 9232
2 4616
2 2308
2 1154
577 577
1

Prime factors of 9232 are 2,577. Prime factorization of 9232 in exponential form is:

9232 = 24×5771

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 9232 and 9240.

LCM(9232,9240) = 24×31×51×71×111×5771
LCM(9232,9240) = 10662960

Factors of 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232

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 9232 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 9232 and 9240, than apply into the LCM equation.

GCF(9232,9240) = 8
LCM(9232,9240) = ( 9232 × 9240) / 8
LCM(9232,9240) = 85303680 / 8
LCM(9232,9240) = 10662960

Properties of LCM 9232 and 9240

(i) The LCM of 9240 and 9232 is associative

LCM of 9232 and 9240 = LCM of 9240 and 9232

Related Least Common Multiples of 9232

Related Least Common Multiples of 9240

Frequently Asked Questions on LCM of 9232 and 9240

1. What is the LCM of 9232 and 9240?

Answer: LCM of 9232 and 9240 is 10662960.

2. What are the Factors of 9232?

Answer: Factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232. There are 10 integers that are factors of 9232. The greatest factor of 9232 is 9232.

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 9232 and 9240?

Answer:

Least Common Multiple of 9232 and 9240 = 10662960

Step 1: Find the prime factorization of 9232

9232 = 2 x 2 x 2 x 2 x 577

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 = 10662960 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 577

Step 4: Therefore, the least common multiple of 9232 and 9240 is 10662960.