Least Common Multiple of 1324 and 1325

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 1325 the smallest integer that is 1754300 that is divisible by both numbers.

Least Common Multiple (LCM) of 1324 and 1325 is 1754300.

LCM(1324,1325) = 1754300

LCM of 1324 and 1325

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

LCM of:
and

Least Common Multiple of 1324 and 1325

LCM of 1324 and 1325 is 1754300

Least common multiple can be found by multiplying the highest exponent prime factors of 1324 and 1325. First we will calculate the prime factors of 1324 and 1325.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1324 and 1325.

LCM(1324,1325) = 22×52×531×3311
LCM(1324,1325) = 1754300

Factors of 1324

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

1, 2, 4, 331, 662, 1324

Factors of 1325

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

1, 5, 25, 53, 265, 1325

Least Common Multiple of 1324 and 1325 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 1325, than apply into the LCM equation.

GCF(1324,1325) = 1
LCM(1324,1325) = ( 1324 × 1325) / 1
LCM(1324,1325) = 1754300 / 1
LCM(1324,1325) = 1754300

Properties of LCM 1324 and 1325

(i) The LCM of 1325 and 1324 is associative

LCM of 1324 and 1325 = LCM of 1325 and 1324

Related Least Common Multiples of 1324

Related Least Common Multiples of 1325

Frequently Asked Questions on LCM of 1324 and 1325

1. What is the LCM of 1324 and 1325?

Answer: LCM of 1324 and 1325 is 1754300.

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 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.

4. How to Find the LCM of 1324 and 1325?

Answer:

Least Common Multiple of 1324 and 1325 = 1754300

Step 1: Find the prime factorization of 1324

1324 = 2 x 2 x 331

Step 2: Find the prime factorization of 1325

1325 = 5 x 5 x 53

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

LCM = 1754300 = 2 x 2 x 5 x 5 x 53 x 331

Step 4: Therefore, the least common multiple of 1324 and 1325 is 1754300.