Least Common Multiple of 11328 and 11335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11328 and 11335 the smallest integer that is 128402880 that is divisible by both numbers.

Least Common Multiple (LCM) of 11328 and 11335 is 128402880.

LCM(11328,11335) = 128402880

LCM of 11328 and 11335

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

LCM of:
and

Least Common Multiple of 11328 and 11335

LCM of 11328 and 11335 is 128402880

Least common multiple can be found by multiplying the highest exponent prime factors of 11328 and 11335. First we will calculate the prime factors of 11328 and 11335.

Prime Factorization of 11328


2 11328
2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 11328 are 2, 3,59. Prime factorization of 11328 in exponential form is:

11328 = 26×31×591

Prime Factorization of 11335


5 11335
2267 2267
1

Prime factors of 11335 are 5,2267. Prime factorization of 11335 in exponential form is:

11335 = 51×22671

Now multiplying the highest exponent prime factors to calculate the LCM of 11328 and 11335.

LCM(11328,11335) = 26×31×51×591×22671
LCM(11328,11335) = 128402880

Factors of 11328

List of positive integer factors of 11328 that divides 11328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 177, 192, 236, 354, 472, 708, 944, 1416, 1888, 2832, 3776, 5664, 11328

Factors of 11335

List of positive integer factors of 11335 that divides 11335 without a remainder.

1, 5, 2267, 11335

Least Common Multiple of 11328 and 11335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11328 and 11335, than apply into the LCM equation.

GCF(11328,11335) = 1
LCM(11328,11335) = ( 11328 × 11335) / 1
LCM(11328,11335) = 128402880 / 1
LCM(11328,11335) = 128402880

Properties of LCM 11328 and 11335

(i) The LCM of 11335 and 11328 is associative

LCM of 11328 and 11335 = LCM of 11335 and 11328

Related Least Common Multiples of 11328

Related Least Common Multiples of 11335

Frequently Asked Questions on LCM of 11328 and 11335

1. What is the LCM of 11328 and 11335?

Answer: LCM of 11328 and 11335 is 128402880.

2. What are the Factors of 11328?

Answer: Factors of 11328 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 177, 192, 236, 354, 472, 708, 944, 1416, 1888, 2832, 3776, 5664, 11328. There are 28 integers that are factors of 11328. The greatest factor of 11328 is 11328.

3. What are the Factors of 11335?

Answer: Factors of 11335 are 1, 5, 2267, 11335. There are 4 integers that are factors of 11335. The greatest factor of 11335 is 11335.

4. How to Find the LCM of 11328 and 11335?

Answer:

Least Common Multiple of 11328 and 11335 = 128402880

Step 1: Find the prime factorization of 11328

11328 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 11335

11335 = 5 x 2267

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

LCM = 128402880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 59 x 2267

Step 4: Therefore, the least common multiple of 11328 and 11335 is 128402880.