Least Common Multiple of 9368 and 9376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9368 and 9376 the smallest integer that is 10979296 that is divisible by both numbers.

Least Common Multiple (LCM) of 9368 and 9376 is 10979296.

LCM(9368,9376) = 10979296

LCM of 9368 and 9376

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

LCM of:
and

Least Common Multiple of 9368 and 9376

LCM of 9368 and 9376 is 10979296

Least common multiple can be found by multiplying the highest exponent prime factors of 9368 and 9376. First we will calculate the prime factors of 9368 and 9376.

Prime Factorization of 9368


2 9368
2 4684
2 2342
1171 1171
1

Prime factors of 9368 are 2,1171. Prime factorization of 9368 in exponential form is:

9368 = 23×11711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9368 and 9376.

LCM(9368,9376) = 25×2931×11711
LCM(9368,9376) = 10979296

Factors of 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1, 2, 4, 8, 1171, 2342, 4684, 9368

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

Least Common Multiple of 9368 and 9376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9368 and 9376, than apply into the LCM equation.

GCF(9368,9376) = 8
LCM(9368,9376) = ( 9368 × 9376) / 8
LCM(9368,9376) = 87834368 / 8
LCM(9368,9376) = 10979296

Properties of LCM 9368 and 9376

(i) The LCM of 9376 and 9368 is associative

LCM of 9368 and 9376 = LCM of 9376 and 9368

Related Least Common Multiples of 9368

Related Least Common Multiples of 9376

Frequently Asked Questions on LCM of 9368 and 9376

1. What is the LCM of 9368 and 9376?

Answer: LCM of 9368 and 9376 is 10979296.

2. What are the Factors of 9368?

Answer: Factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368. There are 8 integers that are factors of 9368. The greatest factor of 9368 is 9368.

3. 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.

4. How to Find the LCM of 9368 and 9376?

Answer:

Least Common Multiple of 9368 and 9376 = 10979296

Step 1: Find the prime factorization of 9368

9368 = 2 x 2 x 2 x 1171

Step 2: Find the prime factorization of 9376

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

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

LCM = 10979296 = 2 x 2 x 2 x 2 x 2 x 293 x 1171

Step 4: Therefore, the least common multiple of 9368 and 9376 is 10979296.