Least Common Multiple of 2320 and 2325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2320 and 2325 the smallest integer that is 1078800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2320 and 2325 is 1078800.

LCM(2320,2325) = 1078800

LCM of 2320 and 2325

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

LCM of:
and

Least Common Multiple of 2320 and 2325

LCM of 2320 and 2325 is 1078800

Least common multiple can be found by multiplying the highest exponent prime factors of 2320 and 2325. First we will calculate the prime factors of 2320 and 2325.

Prime Factorization of 2320


2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 2320 are 2, 5,29. Prime factorization of 2320 in exponential form is:

2320 = 24×51×291

Prime Factorization of 2325


3 2325
5 775
5 155
31 31
1

Prime factors of 2325 are 3, 5,31. Prime factorization of 2325 in exponential form is:

2325 = 31×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2320 and 2325.

LCM(2320,2325) = 24×31×52×291×311
LCM(2320,2325) = 1078800

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

Factors of 2325

List of positive integer factors of 2325 that divides 2325 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325

Least Common Multiple of 2320 and 2325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2320 and 2325, than apply into the LCM equation.

GCF(2320,2325) = 5
LCM(2320,2325) = ( 2320 × 2325) / 5
LCM(2320,2325) = 5394000 / 5
LCM(2320,2325) = 1078800

Properties of LCM 2320 and 2325

(i) The LCM of 2325 and 2320 is associative

LCM of 2320 and 2325 = LCM of 2325 and 2320

Related Least Common Multiples of 2320

Related Least Common Multiples of 2325

Frequently Asked Questions on LCM of 2320 and 2325

1. What is the LCM of 2320 and 2325?

Answer: LCM of 2320 and 2325 is 1078800.

2. What are the Factors of 2320?

Answer: Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320. There are 20 integers that are factors of 2320. The greatest factor of 2320 is 2320.

3. What are the Factors of 2325?

Answer: Factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325. There are 12 integers that are factors of 2325. The greatest factor of 2325 is 2325.

4. How to Find the LCM of 2320 and 2325?

Answer:

Least Common Multiple of 2320 and 2325 = 1078800

Step 1: Find the prime factorization of 2320

2320 = 2 x 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 2325

2325 = 3 x 5 x 5 x 31

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

LCM = 1078800 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 2320 and 2325 is 1078800.