Least Common Multiple of 9376 and 9384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9376 and 9384 the smallest integer that is 10998048 that is divisible by both numbers.

Least Common Multiple (LCM) of 9376 and 9384 is 10998048.

LCM(9376,9384) = 10998048

LCM of 9376 and 9384

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

LCM of:
and

Least Common Multiple of 9376 and 9384

LCM of 9376 and 9384 is 10998048

Least common multiple can be found by multiplying the highest exponent prime factors of 9376 and 9384. First we will calculate the prime factors of 9376 and 9384.

Prime Factorization of 9376


2 9376
2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 9376 are 2,293. Prime factorization of 9376 in exponential form is:

9376 = 25×2931

Prime Factorization of 9384


2 9384
2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 9384 are 2, 3, 17,23. Prime factorization of 9384 in exponential form is:

9384 = 23×31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9376 and 9384.

LCM(9376,9384) = 25×31×171×231×2931
LCM(9376,9384) = 10998048

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384

Least Common Multiple of 9376 and 9384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9376 and 9384, than apply into the LCM equation.

GCF(9376,9384) = 8
LCM(9376,9384) = ( 9376 × 9384) / 8
LCM(9376,9384) = 87984384 / 8
LCM(9376,9384) = 10998048

Properties of LCM 9376 and 9384

(i) The LCM of 9384 and 9376 is associative

LCM of 9376 and 9384 = LCM of 9384 and 9376

Related Least Common Multiples of 9376

Related Least Common Multiples of 9384

Frequently Asked Questions on LCM of 9376 and 9384

1. What is the LCM of 9376 and 9384?

Answer: LCM of 9376 and 9384 is 10998048.

2. What are the Factors of 9376?

Answer: Factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376. There are 12 integers that are factors of 9376. The greatest factor of 9376 is 9376.

3. What are the Factors of 9384?

Answer: Factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384. There are 32 integers that are factors of 9384. The greatest factor of 9384 is 9384.

4. How to Find the LCM of 9376 and 9384?

Answer:

Least Common Multiple of 9376 and 9384 = 10998048

Step 1: Find the prime factorization of 9376

9376 = 2 x 2 x 2 x 2 x 2 x 293

Step 2: Find the prime factorization of 9384

9384 = 2 x 2 x 2 x 3 x 17 x 23

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

LCM = 10998048 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23 x 293

Step 4: Therefore, the least common multiple of 9376 and 9384 is 10998048.