Least Common Multiple of 1324 and 1329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1324 and 1329 the smallest integer that is 1759596 that is divisible by both numbers.

Least Common Multiple (LCM) of 1324 and 1329 is 1759596.

LCM(1324,1329) = 1759596

LCM of 1324 and 1329

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

LCM of:
and

Least Common Multiple of 1324 and 1329

LCM of 1324 and 1329 is 1759596

Least common multiple can be found by multiplying the highest exponent prime factors of 1324 and 1329. First we will calculate the prime factors of 1324 and 1329.

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

Prime Factorization of 1329


3 1329
443 443
1

Prime factors of 1329 are 3,443. Prime factorization of 1329 in exponential form is:

1329 = 31×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 1324 and 1329.

LCM(1324,1329) = 22×31×3311×4431
LCM(1324,1329) = 1759596

Factors of 1324

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

1, 2, 4, 331, 662, 1324

Factors of 1329

List of positive integer factors of 1329 that divides 1329 without a remainder.

1, 3, 443, 1329

Least Common Multiple of 1324 and 1329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1324 and 1329, than apply into the LCM equation.

GCF(1324,1329) = 1
LCM(1324,1329) = ( 1324 × 1329) / 1
LCM(1324,1329) = 1759596 / 1
LCM(1324,1329) = 1759596

Properties of LCM 1324 and 1329

(i) The LCM of 1329 and 1324 is associative

LCM of 1324 and 1329 = LCM of 1329 and 1324

Related Least Common Multiples of 1324

Related Least Common Multiples of 1329

Frequently Asked Questions on LCM of 1324 and 1329

1. What is the LCM of 1324 and 1329?

Answer: LCM of 1324 and 1329 is 1759596.

2. 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.

3. What are the Factors of 1329?

Answer: Factors of 1329 are 1, 3, 443, 1329. There are 4 integers that are factors of 1329. The greatest factor of 1329 is 1329.

4. How to Find the LCM of 1324 and 1329?

Answer:

Least Common Multiple of 1324 and 1329 = 1759596

Step 1: Find the prime factorization of 1324

1324 = 2 x 2 x 331

Step 2: Find the prime factorization of 1329

1329 = 3 x 443

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

LCM = 1759596 = 2 x 2 x 3 x 331 x 443

Step 4: Therefore, the least common multiple of 1324 and 1329 is 1759596.