Least Common Multiple of 4317 and 4322

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 4322 the smallest integer that is 18658074 that is divisible by both numbers.

Least Common Multiple (LCM) of 4317 and 4322 is 18658074.

LCM(4317,4322) = 18658074

LCM of 4317 and 4322

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

LCM of:
and

Least Common Multiple of 4317 and 4322

LCM of 4317 and 4322 is 18658074

Least common multiple can be found by multiplying the highest exponent prime factors of 4317 and 4322. First we will calculate the prime factors of 4317 and 4322.

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 4322


2 4322
2161 2161
1

Prime factors of 4322 are 2,2161. Prime factorization of 4322 in exponential form is:

4322 = 21×21611

Now multiplying the highest exponent prime factors to calculate the LCM of 4317 and 4322.

LCM(4317,4322) = 21×31×14391×21611
LCM(4317,4322) = 18658074

Factors of 4317

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

1, 3, 1439, 4317

Factors of 4322

List of positive integer factors of 4322 that divides 4322 without a remainder.

1, 2, 2161, 4322

Least Common Multiple of 4317 and 4322 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 4322, than apply into the LCM equation.

GCF(4317,4322) = 1
LCM(4317,4322) = ( 4317 × 4322) / 1
LCM(4317,4322) = 18658074 / 1
LCM(4317,4322) = 18658074

Properties of LCM 4317 and 4322

(i) The LCM of 4322 and 4317 is associative

LCM of 4317 and 4322 = LCM of 4322 and 4317

Related Least Common Multiples of 4317

Related Least Common Multiples of 4322

Frequently Asked Questions on LCM of 4317 and 4322

1. What is the LCM of 4317 and 4322?

Answer: LCM of 4317 and 4322 is 18658074.

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 4322?

Answer: Factors of 4322 are 1, 2, 2161, 4322. There are 4 integers that are factors of 4322. The greatest factor of 4322 is 4322.

4. How to Find the LCM of 4317 and 4322?

Answer:

Least Common Multiple of 4317 and 4322 = 18658074

Step 1: Find the prime factorization of 4317

4317 = 3 x 1439

Step 2: Find the prime factorization of 4322

4322 = 2 x 2161

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

LCM = 18658074 = 2 x 3 x 1439 x 2161

Step 4: Therefore, the least common multiple of 4317 and 4322 is 18658074.