Least Common Multiple of 1325 and 1332

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 1332 the smallest integer that is 1764900 that is divisible by both numbers.

Least Common Multiple (LCM) of 1325 and 1332 is 1764900.

LCM(1325,1332) = 1764900

LCM of 1325 and 1332

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

LCM of:
and

Least Common Multiple of 1325 and 1332

LCM of 1325 and 1332 is 1764900

Least common multiple can be found by multiplying the highest exponent prime factors of 1325 and 1332. First we will calculate the prime factors of 1325 and 1332.

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 1332


2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 1332 are 2, 3,37. Prime factorization of 1332 in exponential form is:

1332 = 22×32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1325 and 1332.

LCM(1325,1332) = 22×32×52×371×531
LCM(1325,1332) = 1764900

Factors of 1325

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

1, 5, 25, 53, 265, 1325

Factors of 1332

List of positive integer factors of 1332 that divides 1332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332

Least Common Multiple of 1325 and 1332 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 1332, than apply into the LCM equation.

GCF(1325,1332) = 1
LCM(1325,1332) = ( 1325 × 1332) / 1
LCM(1325,1332) = 1764900 / 1
LCM(1325,1332) = 1764900

Properties of LCM 1325 and 1332

(i) The LCM of 1332 and 1325 is associative

LCM of 1325 and 1332 = LCM of 1332 and 1325

Related Least Common Multiples of 1325

Related Least Common Multiples of 1332

Frequently Asked Questions on LCM of 1325 and 1332

1. What is the LCM of 1325 and 1332?

Answer: LCM of 1325 and 1332 is 1764900.

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 1332?

Answer: Factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332. There are 18 integers that are factors of 1332. The greatest factor of 1332 is 1332.

4. How to Find the LCM of 1325 and 1332?

Answer:

Least Common Multiple of 1325 and 1332 = 1764900

Step 1: Find the prime factorization of 1325

1325 = 5 x 5 x 53

Step 2: Find the prime factorization of 1332

1332 = 2 x 2 x 3 x 3 x 37

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

LCM = 1764900 = 2 x 2 x 3 x 3 x 5 x 5 x 37 x 53

Step 4: Therefore, the least common multiple of 1325 and 1332 is 1764900.