Least Common Multiple of 9243 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 9243 and 9248 the smallest integer that is 85479264 that is divisible by both numbers.

Least Common Multiple (LCM) of 9243 and 9248 is 85479264.

LCM(9243,9248) = 85479264

LCM of 9243 and 9248

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

LCM of:
and

Least Common Multiple of 9243 and 9248

LCM of 9243 and 9248 is 85479264

Least common multiple can be found by multiplying the highest exponent prime factors of 9243 and 9248. First we will calculate the prime factors of 9243 and 9248.

Prime Factorization of 9243


3 9243
3 3081
13 1027
79 79
1

Prime factors of 9243 are 3, 13,79. Prime factorization of 9243 in exponential form is:

9243 = 32×131×791

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 9243 and 9248.

LCM(9243,9248) = 25×32×131×172×791
LCM(9243,9248) = 85479264

Factors of 9243

List of positive integer factors of 9243 that divides 9243 without a remainder.

1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243

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 9243 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 9243 and 9248, than apply into the LCM equation.

GCF(9243,9248) = 1
LCM(9243,9248) = ( 9243 × 9248) / 1
LCM(9243,9248) = 85479264 / 1
LCM(9243,9248) = 85479264

Properties of LCM 9243 and 9248

(i) The LCM of 9248 and 9243 is associative

LCM of 9243 and 9248 = LCM of 9248 and 9243

Related Least Common Multiples of 9243

Related Least Common Multiples of 9248

Frequently Asked Questions on LCM of 9243 and 9248

1. What is the LCM of 9243 and 9248?

Answer: LCM of 9243 and 9248 is 85479264.

2. What are the Factors of 9243?

Answer: Factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243. There are 12 integers that are factors of 9243. The greatest factor of 9243 is 9243.

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 9243 and 9248?

Answer:

Least Common Multiple of 9243 and 9248 = 85479264

Step 1: Find the prime factorization of 9243

9243 = 3 x 3 x 13 x 79

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 = 85479264 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 17 x 17 x 79

Step 4: Therefore, the least common multiple of 9243 and 9248 is 85479264.