Least Common Multiple of 4317 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 4317 and 4323 the smallest integer that is 6220797 that is divisible by both numbers.

Least Common Multiple (LCM) of 4317 and 4323 is 6220797.

LCM(4317,4323) = 6220797

LCM of 4317 and 4323

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

LCM of:
and

Least Common Multiple of 4317 and 4323

LCM of 4317 and 4323 is 6220797

Least common multiple can be found by multiplying the highest exponent prime factors of 4317 and 4323. First we will calculate the prime factors of 4317 and 4323.

Prime Factorization of 4317


3 4317
1439 1439
1

Prime factors of 4317 are 3,1439. Prime factorization of 4317 in exponential form is:

4317 = 31×14391

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 4317 and 4323.

LCM(4317,4323) = 31×111×1311×14391
LCM(4317,4323) = 6220797

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1, 3, 1439, 4317

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 4317 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 4317 and 4323, than apply into the LCM equation.

GCF(4317,4323) = 3
LCM(4317,4323) = ( 4317 × 4323) / 3
LCM(4317,4323) = 18662391 / 3
LCM(4317,4323) = 6220797

Properties of LCM 4317 and 4323

(i) The LCM of 4323 and 4317 is associative

LCM of 4317 and 4323 = LCM of 4323 and 4317

Related Least Common Multiples of 4317

Related Least Common Multiples of 4323

Frequently Asked Questions on LCM of 4317 and 4323

1. What is the LCM of 4317 and 4323?

Answer: LCM of 4317 and 4323 is 6220797.

2. What are the Factors of 4317?

Answer: Factors of 4317 are 1, 3, 1439, 4317. There are 4 integers that are factors of 4317. The greatest factor of 4317 is 4317.

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 4317 and 4323?

Answer:

Least Common Multiple of 4317 and 4323 = 6220797

Step 1: Find the prime factorization of 4317

4317 = 3 x 1439

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 = 6220797 = 3 x 11 x 131 x 1439

Step 4: Therefore, the least common multiple of 4317 and 4323 is 6220797.