Least Common Multiple of 36323 and 36328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36323 and 36328 the smallest integer that is 1319541944 that is divisible by both numbers.

Least Common Multiple (LCM) of 36323 and 36328 is 1319541944.

LCM(36323,36328) = 1319541944

LCM of 36323 and 36328

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

LCM of:
and

Least Common Multiple of 36323 and 36328

LCM of 36323 and 36328 is 1319541944

Least common multiple can be found by multiplying the highest exponent prime factors of 36323 and 36328. First we will calculate the prime factors of 36323 and 36328.

Prime Factorization of 36323


7 36323
5189 5189
1

Prime factors of 36323 are 7,5189. Prime factorization of 36323 in exponential form is:

36323 = 71×51891

Prime Factorization of 36328


2 36328
2 18164
2 9082
19 4541
239 239
1

Prime factors of 36328 are 2, 19,239. Prime factorization of 36328 in exponential form is:

36328 = 23×191×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 36323 and 36328.

LCM(36323,36328) = 23×71×191×2391×51891
LCM(36323,36328) = 1319541944

Factors of 36323

List of positive integer factors of 36323 that divides 36323 without a remainder.

1, 7, 5189, 36323

Factors of 36328

List of positive integer factors of 36328 that divides 36328 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 239, 478, 956, 1912, 4541, 9082, 18164, 36328

Least Common Multiple of 36323 and 36328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36323 and 36328, than apply into the LCM equation.

GCF(36323,36328) = 1
LCM(36323,36328) = ( 36323 × 36328) / 1
LCM(36323,36328) = 1319541944 / 1
LCM(36323,36328) = 1319541944

Properties of LCM 36323 and 36328

(i) The LCM of 36328 and 36323 is associative

LCM of 36323 and 36328 = LCM of 36328 and 36323

Related Least Common Multiples of 36323

Related Least Common Multiples of 36328

Frequently Asked Questions on LCM of 36323 and 36328

1. What is the LCM of 36323 and 36328?

Answer: LCM of 36323 and 36328 is 1319541944.

2. What are the Factors of 36323?

Answer: Factors of 36323 are 1, 7, 5189, 36323. There are 4 integers that are factors of 36323. The greatest factor of 36323 is 36323.

3. What are the Factors of 36328?

Answer: Factors of 36328 are 1, 2, 4, 8, 19, 38, 76, 152, 239, 478, 956, 1912, 4541, 9082, 18164, 36328. There are 16 integers that are factors of 36328. The greatest factor of 36328 is 36328.

4. How to Find the LCM of 36323 and 36328?

Answer:

Least Common Multiple of 36323 and 36328 = 1319541944

Step 1: Find the prime factorization of 36323

36323 = 7 x 5189

Step 2: Find the prime factorization of 36328

36328 = 2 x 2 x 2 x 19 x 239

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

LCM = 1319541944 = 2 x 2 x 2 x 7 x 19 x 239 x 5189

Step 4: Therefore, the least common multiple of 36323 and 36328 is 1319541944.