Least Common Multiple of 9240 and 9248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9240 and 9248 the smallest integer that is 10681440 that is divisible by both numbers.

Least Common Multiple (LCM) of 9240 and 9248 is 10681440.

LCM(9240,9248) = 10681440

LCM of 9240 and 9248

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

LCM of:
and

Least Common Multiple of 9240 and 9248

LCM of 9240 and 9248 is 10681440

Least common multiple can be found by multiplying the highest exponent prime factors of 9240 and 9248. First we will calculate the prime factors of 9240 and 9248.

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

Prime Factorization of 9248


2 9248
2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 9248 are 2,17. Prime factorization of 9248 in exponential form is:

9248 = 25×172

Now multiplying the highest exponent prime factors to calculate the LCM of 9240 and 9248.

LCM(9240,9248) = 25×31×51×71×111×172
LCM(9240,9248) = 10681440

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

Factors of 9248

List of positive integer factors of 9248 that divides 9248 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248

Least Common Multiple of 9240 and 9248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9240 and 9248, than apply into the LCM equation.

GCF(9240,9248) = 8
LCM(9240,9248) = ( 9240 × 9248) / 8
LCM(9240,9248) = 85451520 / 8
LCM(9240,9248) = 10681440

Properties of LCM 9240 and 9248

(i) The LCM of 9248 and 9240 is associative

LCM of 9240 and 9248 = LCM of 9248 and 9240

Related Least Common Multiples of 9240

Related Least Common Multiples of 9248

Frequently Asked Questions on LCM of 9240 and 9248

1. What is the LCM of 9240 and 9248?

Answer: LCM of 9240 and 9248 is 10681440.

2. 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.

3. What are the Factors of 9248?

Answer: Factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. There are 18 integers that are factors of 9248. The greatest factor of 9248 is 9248.

4. How to Find the LCM of 9240 and 9248?

Answer:

Least Common Multiple of 9240 and 9248 = 10681440

Step 1: Find the prime factorization of 9240

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

Step 2: Find the prime factorization of 9248

9248 = 2 x 2 x 2 x 2 x 2 x 17 x 17

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

LCM = 10681440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17 x 17

Step 4: Therefore, the least common multiple of 9240 and 9248 is 10681440.