Least Common Multiple of 1317 and 1322

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 1322 the smallest integer that is 1741074 that is divisible by both numbers.

Least Common Multiple (LCM) of 1317 and 1322 is 1741074.

LCM(1317,1322) = 1741074

LCM of 1317 and 1322

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

LCM of:
and

Least Common Multiple of 1317 and 1322

LCM of 1317 and 1322 is 1741074

Least common multiple can be found by multiplying the highest exponent prime factors of 1317 and 1322. First we will calculate the prime factors of 1317 and 1322.

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 1322


2 1322
661 661
1

Prime factors of 1322 are 2,661. Prime factorization of 1322 in exponential form is:

1322 = 21×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 1317 and 1322.

LCM(1317,1322) = 21×31×4391×6611
LCM(1317,1322) = 1741074

Factors of 1317

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

1, 3, 439, 1317

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1, 2, 661, 1322

Least Common Multiple of 1317 and 1322 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 1322, than apply into the LCM equation.

GCF(1317,1322) = 1
LCM(1317,1322) = ( 1317 × 1322) / 1
LCM(1317,1322) = 1741074 / 1
LCM(1317,1322) = 1741074

Properties of LCM 1317 and 1322

(i) The LCM of 1322 and 1317 is associative

LCM of 1317 and 1322 = LCM of 1322 and 1317

Related Least Common Multiples of 1317

Related Least Common Multiples of 1322

Frequently Asked Questions on LCM of 1317 and 1322

1. What is the LCM of 1317 and 1322?

Answer: LCM of 1317 and 1322 is 1741074.

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 1322?

Answer: Factors of 1322 are 1, 2, 661, 1322. There are 4 integers that are factors of 1322. The greatest factor of 1322 is 1322.

4. How to Find the LCM of 1317 and 1322?

Answer:

Least Common Multiple of 1317 and 1322 = 1741074

Step 1: Find the prime factorization of 1317

1317 = 3 x 439

Step 2: Find the prime factorization of 1322

1322 = 2 x 661

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

LCM = 1741074 = 2 x 3 x 439 x 661

Step 4: Therefore, the least common multiple of 1317 and 1322 is 1741074.