Least Common Multiple of 1324 and 1330

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 1330 the smallest integer that is 880460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1324 and 1330 is 880460.

LCM(1324,1330) = 880460

LCM of 1324 and 1330

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

LCM of:
and

Least Common Multiple of 1324 and 1330

LCM of 1324 and 1330 is 880460

Least common multiple can be found by multiplying the highest exponent prime factors of 1324 and 1330. First we will calculate the prime factors of 1324 and 1330.

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 1330


2 1330
5 665
7 133
19 19
1

Prime factors of 1330 are 2, 5, 7,19. Prime factorization of 1330 in exponential form is:

1330 = 21×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1324 and 1330.

LCM(1324,1330) = 22×51×71×191×3311
LCM(1324,1330) = 880460

Factors of 1324

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

1, 2, 4, 331, 662, 1324

Factors of 1330

List of positive integer factors of 1330 that divides 1330 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330

Least Common Multiple of 1324 and 1330 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 1330, than apply into the LCM equation.

GCF(1324,1330) = 2
LCM(1324,1330) = ( 1324 × 1330) / 2
LCM(1324,1330) = 1760920 / 2
LCM(1324,1330) = 880460

Properties of LCM 1324 and 1330

(i) The LCM of 1330 and 1324 is associative

LCM of 1324 and 1330 = LCM of 1330 and 1324

Related Least Common Multiples of 1324

Related Least Common Multiples of 1330

Frequently Asked Questions on LCM of 1324 and 1330

1. What is the LCM of 1324 and 1330?

Answer: LCM of 1324 and 1330 is 880460.

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 1330?

Answer: Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330. There are 16 integers that are factors of 1330. The greatest factor of 1330 is 1330.

4. How to Find the LCM of 1324 and 1330?

Answer:

Least Common Multiple of 1324 and 1330 = 880460

Step 1: Find the prime factorization of 1324

1324 = 2 x 2 x 331

Step 2: Find the prime factorization of 1330

1330 = 2 x 5 x 7 x 19

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

LCM = 880460 = 2 x 2 x 5 x 7 x 19 x 331

Step 4: Therefore, the least common multiple of 1324 and 1330 is 880460.