Least Common Multiple of 1325 and 1328

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 1328 the smallest integer that is 1759600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1325 and 1328 is 1759600.

LCM(1325,1328) = 1759600

LCM of 1325 and 1328

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

LCM of:
and

Least Common Multiple of 1325 and 1328

LCM of 1325 and 1328 is 1759600

Least common multiple can be found by multiplying the highest exponent prime factors of 1325 and 1328. First we will calculate the prime factors of 1325 and 1328.

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 1328


2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 1328 are 2,83. Prime factorization of 1328 in exponential form is:

1328 = 24×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1325 and 1328.

LCM(1325,1328) = 24×52×531×831
LCM(1325,1328) = 1759600

Factors of 1325

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

1, 5, 25, 53, 265, 1325

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1, 2, 4, 8, 16, 83, 166, 332, 664, 1328

Least Common Multiple of 1325 and 1328 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 1328, than apply into the LCM equation.

GCF(1325,1328) = 1
LCM(1325,1328) = ( 1325 × 1328) / 1
LCM(1325,1328) = 1759600 / 1
LCM(1325,1328) = 1759600

Properties of LCM 1325 and 1328

(i) The LCM of 1328 and 1325 is associative

LCM of 1325 and 1328 = LCM of 1328 and 1325

Related Least Common Multiples of 1325

Related Least Common Multiples of 1328

Frequently Asked Questions on LCM of 1325 and 1328

1. What is the LCM of 1325 and 1328?

Answer: LCM of 1325 and 1328 is 1759600.

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 1328?

Answer: Factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328. There are 10 integers that are factors of 1328. The greatest factor of 1328 is 1328.

4. How to Find the LCM of 1325 and 1328?

Answer:

Least Common Multiple of 1325 and 1328 = 1759600

Step 1: Find the prime factorization of 1325

1325 = 5 x 5 x 53

Step 2: Find the prime factorization of 1328

1328 = 2 x 2 x 2 x 2 x 83

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

LCM = 1759600 = 2 x 2 x 2 x 2 x 5 x 5 x 53 x 83

Step 4: Therefore, the least common multiple of 1325 and 1328 is 1759600.