Least Common Multiple of 4317 and 4319

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 4319 the smallest integer that is 18645123 that is divisible by both numbers.

Least Common Multiple (LCM) of 4317 and 4319 is 18645123.

LCM(4317,4319) = 18645123

LCM of 4317 and 4319

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

LCM of:
and

Least Common Multiple of 4317 and 4319

LCM of 4317 and 4319 is 18645123

Least common multiple can be found by multiplying the highest exponent prime factors of 4317 and 4319. First we will calculate the prime factors of 4317 and 4319.

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 4319


7 4319
617 617
1

Prime factors of 4319 are 7,617. Prime factorization of 4319 in exponential form is:

4319 = 71×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 4317 and 4319.

LCM(4317,4319) = 31×71×6171×14391
LCM(4317,4319) = 18645123

Factors of 4317

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

1, 3, 1439, 4317

Factors of 4319

List of positive integer factors of 4319 that divides 4319 without a remainder.

1, 7, 617, 4319

Least Common Multiple of 4317 and 4319 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 4319, than apply into the LCM equation.

GCF(4317,4319) = 1
LCM(4317,4319) = ( 4317 × 4319) / 1
LCM(4317,4319) = 18645123 / 1
LCM(4317,4319) = 18645123

Properties of LCM 4317 and 4319

(i) The LCM of 4319 and 4317 is associative

LCM of 4317 and 4319 = LCM of 4319 and 4317

Related Least Common Multiples of 4317

Related Least Common Multiples of 4319

Frequently Asked Questions on LCM of 4317 and 4319

1. What is the LCM of 4317 and 4319?

Answer: LCM of 4317 and 4319 is 18645123.

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 4319?

Answer: Factors of 4319 are 1, 7, 617, 4319. There are 4 integers that are factors of 4319. The greatest factor of 4319 is 4319.

4. How to Find the LCM of 4317 and 4319?

Answer:

Least Common Multiple of 4317 and 4319 = 18645123

Step 1: Find the prime factorization of 4317

4317 = 3 x 1439

Step 2: Find the prime factorization of 4319

4319 = 7 x 617

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

LCM = 18645123 = 3 x 7 x 617 x 1439

Step 4: Therefore, the least common multiple of 4317 and 4319 is 18645123.