Least Common Multiple of 320 and 325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 320 and 325 the smallest integer that is 20800 that is divisible by both numbers.

Least Common Multiple (LCM) of 320 and 325 is 20800.

LCM(320,325) = 20800

LCM of 320 and 325

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

LCM of:
and

Least Common Multiple of 320 and 325

LCM of 320 and 325 is 20800

Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 325. First we will calculate the prime factors of 320 and 325.

Prime Factorization of 320


2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 320 are 2,5. Prime factorization of 320 in exponential form is:

320 = 26×51

Prime Factorization of 325


5 325
5 65
13 13
1

Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:

325 = 52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 320 and 325.

LCM(320,325) = 26×52×131
LCM(320,325) = 20800

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Least Common Multiple of 320 and 325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 320 and 325, than apply into the LCM equation.

GCF(320,325) = 5
LCM(320,325) = ( 320 × 325) / 5
LCM(320,325) = 104000 / 5
LCM(320,325) = 20800

Properties of LCM 320 and 325

(i) The LCM of 325 and 320 is associative

LCM of 320 and 325 = LCM of 325 and 320

Related Least Common Multiples of 320

Related Least Common Multiples of 325

Frequently Asked Questions on LCM of 320 and 325

1. What is the LCM of 320 and 325?

Answer: LCM of 320 and 325 is 20800.

2. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

3. What are the Factors of 325?

Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.

4. How to Find the LCM of 320 and 325?

Answer:

Least Common Multiple of 320 and 325 = 20800

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 325

325 = 5 x 5 x 13

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

LCM = 20800 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 320 and 325 is 20800.