Least Common Multiple of 1325 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 1325 and 1330 the smallest integer that is 352450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1325 and 1330 is 352450.

LCM(1325,1330) = 352450

LCM of 1325 and 1330

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

LCM of:
and

Least Common Multiple of 1325 and 1330

LCM of 1325 and 1330 is 352450

Least common multiple can be found by multiplying the highest exponent prime factors of 1325 and 1330. First we will calculate the prime factors of 1325 and 1330.

Prime Factorization of 1325


5 1325
5 265
53 53
1

Prime factors of 1325 are 5,53. Prime factorization of 1325 in exponential form is:

1325 = 52×531

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 1325 and 1330.

LCM(1325,1330) = 21×52×71×191×531
LCM(1325,1330) = 352450

Factors of 1325

List of positive integer factors of 1325 that divides 1325 without a remainder.

1, 5, 25, 53, 265, 1325

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 1325 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 1325 and 1330, than apply into the LCM equation.

GCF(1325,1330) = 5
LCM(1325,1330) = ( 1325 × 1330) / 5
LCM(1325,1330) = 1762250 / 5
LCM(1325,1330) = 352450

Properties of LCM 1325 and 1330

(i) The LCM of 1330 and 1325 is associative

LCM of 1325 and 1330 = LCM of 1330 and 1325

Related Least Common Multiples of 1325

Related Least Common Multiples of 1330

Frequently Asked Questions on LCM of 1325 and 1330

1. What is the LCM of 1325 and 1330?

Answer: LCM of 1325 and 1330 is 352450.

2. What are the Factors of 1325?

Answer: Factors of 1325 are 1, 5, 25, 53, 265, 1325. There are 6 integers that are factors of 1325. The greatest factor of 1325 is 1325.

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 1325 and 1330?

Answer:

Least Common Multiple of 1325 and 1330 = 352450

Step 1: Find the prime factorization of 1325

1325 = 5 x 5 x 53

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 = 352450 = 2 x 5 x 5 x 7 x 19 x 53

Step 4: Therefore, the least common multiple of 1325 and 1330 is 352450.