Least Common Multiple of 1322 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 1322 and 1330 the smallest integer that is 879130 that is divisible by both numbers.

Least Common Multiple (LCM) of 1322 and 1330 is 879130.

LCM(1322,1330) = 879130

LCM of 1322 and 1330

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

LCM of:
and

Least Common Multiple of 1322 and 1330

LCM of 1322 and 1330 is 879130

Least common multiple can be found by multiplying the highest exponent prime factors of 1322 and 1330. First we will calculate the prime factors of 1322 and 1330.

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

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 1322 and 1330.

LCM(1322,1330) = 21×51×71×191×6611
LCM(1322,1330) = 879130

Factors of 1322

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

1, 2, 661, 1322

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 1322 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 1322 and 1330, than apply into the LCM equation.

GCF(1322,1330) = 2
LCM(1322,1330) = ( 1322 × 1330) / 2
LCM(1322,1330) = 1758260 / 2
LCM(1322,1330) = 879130

Properties of LCM 1322 and 1330

(i) The LCM of 1330 and 1322 is associative

LCM of 1322 and 1330 = LCM of 1330 and 1322

Related Least Common Multiples of 1322

Related Least Common Multiples of 1330

Frequently Asked Questions on LCM of 1322 and 1330

1. What is the LCM of 1322 and 1330?

Answer: LCM of 1322 and 1330 is 879130.

2. 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.

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 1322 and 1330?

Answer:

Least Common Multiple of 1322 and 1330 = 879130

Step 1: Find the prime factorization of 1322

1322 = 2 x 661

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 = 879130 = 2 x 5 x 7 x 19 x 661

Step 4: Therefore, the least common multiple of 1322 and 1330 is 879130.