Least Common Multiple of 4316 and 4323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4316 and 4323 the smallest integer that is 18658068 that is divisible by both numbers.

Least Common Multiple (LCM) of 4316 and 4323 is 18658068.

LCM(4316,4323) = 18658068

LCM of 4316 and 4323

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

LCM of:
and

Least Common Multiple of 4316 and 4323

LCM of 4316 and 4323 is 18658068

Least common multiple can be found by multiplying the highest exponent prime factors of 4316 and 4323. First we will calculate the prime factors of 4316 and 4323.

Prime Factorization of 4316


2 4316
2 2158
13 1079
83 83
1

Prime factors of 4316 are 2, 13,83. Prime factorization of 4316 in exponential form is:

4316 = 22×131×831

Prime Factorization of 4323


3 4323
11 1441
131 131
1

Prime factors of 4323 are 3, 11,131. Prime factorization of 4323 in exponential form is:

4323 = 31×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4316 and 4323.

LCM(4316,4323) = 22×31×111×131×831×1311
LCM(4316,4323) = 18658068

Factors of 4316

List of positive integer factors of 4316 that divides 4316 without a remainder.

1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316

Factors of 4323

List of positive integer factors of 4323 that divides 4323 without a remainder.

1, 3, 11, 33, 131, 393, 1441, 4323

Least Common Multiple of 4316 and 4323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4316 and 4323, than apply into the LCM equation.

GCF(4316,4323) = 1
LCM(4316,4323) = ( 4316 × 4323) / 1
LCM(4316,4323) = 18658068 / 1
LCM(4316,4323) = 18658068

Properties of LCM 4316 and 4323

(i) The LCM of 4323 and 4316 is associative

LCM of 4316 and 4323 = LCM of 4323 and 4316

Related Least Common Multiples of 4316

Related Least Common Multiples of 4323

Frequently Asked Questions on LCM of 4316 and 4323

1. What is the LCM of 4316 and 4323?

Answer: LCM of 4316 and 4323 is 18658068.

2. What are the Factors of 4316?

Answer: Factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316. There are 12 integers that are factors of 4316. The greatest factor of 4316 is 4316.

3. What are the Factors of 4323?

Answer: Factors of 4323 are 1, 3, 11, 33, 131, 393, 1441, 4323. There are 8 integers that are factors of 4323. The greatest factor of 4323 is 4323.

4. How to Find the LCM of 4316 and 4323?

Answer:

Least Common Multiple of 4316 and 4323 = 18658068

Step 1: Find the prime factorization of 4316

4316 = 2 x 2 x 13 x 83

Step 2: Find the prime factorization of 4323

4323 = 3 x 11 x 131

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

LCM = 18658068 = 2 x 2 x 3 x 11 x 13 x 83 x 131

Step 4: Therefore, the least common multiple of 4316 and 4323 is 18658068.