Least Common Multiple of 1317 and 1324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1317 and 1324 the smallest integer that is 1743708 that is divisible by both numbers.

Least Common Multiple (LCM) of 1317 and 1324 is 1743708.

LCM(1317,1324) = 1743708

LCM of 1317 and 1324

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

LCM of:
and

Least Common Multiple of 1317 and 1324

LCM of 1317 and 1324 is 1743708

Least common multiple can be found by multiplying the highest exponent prime factors of 1317 and 1324. First we will calculate the prime factors of 1317 and 1324.

Prime Factorization of 1317


3 1317
439 439
1

Prime factors of 1317 are 3,439. Prime factorization of 1317 in exponential form is:

1317 = 31×4391

Prime Factorization of 1324


2 1324
2 662
331 331
1

Prime factors of 1324 are 2,331. Prime factorization of 1324 in exponential form is:

1324 = 22×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 1317 and 1324.

LCM(1317,1324) = 22×31×3311×4391
LCM(1317,1324) = 1743708

Factors of 1317

List of positive integer factors of 1317 that divides 1317 without a remainder.

1, 3, 439, 1317

Factors of 1324

List of positive integer factors of 1324 that divides 1324 without a remainder.

1, 2, 4, 331, 662, 1324

Least Common Multiple of 1317 and 1324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1317 and 1324, than apply into the LCM equation.

GCF(1317,1324) = 1
LCM(1317,1324) = ( 1317 × 1324) / 1
LCM(1317,1324) = 1743708 / 1
LCM(1317,1324) = 1743708

Properties of LCM 1317 and 1324

(i) The LCM of 1324 and 1317 is associative

LCM of 1317 and 1324 = LCM of 1324 and 1317

Related Least Common Multiples of 1317

Related Least Common Multiples of 1324

Frequently Asked Questions on LCM of 1317 and 1324

1. What is the LCM of 1317 and 1324?

Answer: LCM of 1317 and 1324 is 1743708.

2. What are the Factors of 1317?

Answer: Factors of 1317 are 1, 3, 439, 1317. There are 4 integers that are factors of 1317. The greatest factor of 1317 is 1317.

3. What are the Factors of 1324?

Answer: Factors of 1324 are 1, 2, 4, 331, 662, 1324. There are 6 integers that are factors of 1324. The greatest factor of 1324 is 1324.

4. How to Find the LCM of 1317 and 1324?

Answer:

Least Common Multiple of 1317 and 1324 = 1743708

Step 1: Find the prime factorization of 1317

1317 = 3 x 439

Step 2: Find the prime factorization of 1324

1324 = 2 x 2 x 331

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

LCM = 1743708 = 2 x 2 x 3 x 331 x 439

Step 4: Therefore, the least common multiple of 1317 and 1324 is 1743708.