Least Common Multiple of 36316 and 36323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36316 and 36323 the smallest integer that is 188443724 that is divisible by both numbers.

Least Common Multiple (LCM) of 36316 and 36323 is 188443724.

LCM(36316,36323) = 188443724

LCM of 36316 and 36323

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

LCM of:
and

Least Common Multiple of 36316 and 36323

LCM of 36316 and 36323 is 188443724

Least common multiple can be found by multiplying the highest exponent prime factors of 36316 and 36323. First we will calculate the prime factors of 36316 and 36323.

Prime Factorization of 36316


2 36316
2 18158
7 9079
1297 1297
1

Prime factors of 36316 are 2, 7,1297. Prime factorization of 36316 in exponential form is:

36316 = 22×71×12971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36316 and 36323.

LCM(36316,36323) = 22×71×12971×51891
LCM(36316,36323) = 188443724

Factors of 36316

List of positive integer factors of 36316 that divides 36316 without a remainder.

1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316

Factors of 36323

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

1, 7, 5189, 36323

Least Common Multiple of 36316 and 36323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36316 and 36323, than apply into the LCM equation.

GCF(36316,36323) = 7
LCM(36316,36323) = ( 36316 × 36323) / 7
LCM(36316,36323) = 1319106068 / 7
LCM(36316,36323) = 188443724

Properties of LCM 36316 and 36323

(i) The LCM of 36323 and 36316 is associative

LCM of 36316 and 36323 = LCM of 36323 and 36316

Related Least Common Multiples of 36316

Related Least Common Multiples of 36323

Frequently Asked Questions on LCM of 36316 and 36323

1. What is the LCM of 36316 and 36323?

Answer: LCM of 36316 and 36323 is 188443724.

2. What are the Factors of 36316?

Answer: Factors of 36316 are 1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316. There are 12 integers that are factors of 36316. The greatest factor of 36316 is 36316.

3. 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.

4. How to Find the LCM of 36316 and 36323?

Answer:

Least Common Multiple of 36316 and 36323 = 188443724

Step 1: Find the prime factorization of 36316

36316 = 2 x 2 x 7 x 1297

Step 2: Find the prime factorization of 36323

36323 = 7 x 5189

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

LCM = 188443724 = 2 x 2 x 7 x 1297 x 5189

Step 4: Therefore, the least common multiple of 36316 and 36323 is 188443724.