Least Common Multiple of 2320 and 2324

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 2324 the smallest integer that is 1347920 that is divisible by both numbers.

Least Common Multiple (LCM) of 2320 and 2324 is 1347920.

LCM(2320,2324) = 1347920

LCM of 2320 and 2324

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

LCM of:
and

Least Common Multiple of 2320 and 2324

LCM of 2320 and 2324 is 1347920

Least common multiple can be found by multiplying the highest exponent prime factors of 2320 and 2324. First we will calculate the prime factors of 2320 and 2324.

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 2324


2 2324
2 1162
7 581
83 83
1

Prime factors of 2324 are 2, 7,83. Prime factorization of 2324 in exponential form is:

2324 = 22×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2320 and 2324.

LCM(2320,2324) = 24×51×71×291×831
LCM(2320,2324) = 1347920

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 2324

List of positive integer factors of 2324 that divides 2324 without a remainder.

1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324

Least Common Multiple of 2320 and 2324 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 2324, than apply into the LCM equation.

GCF(2320,2324) = 4
LCM(2320,2324) = ( 2320 × 2324) / 4
LCM(2320,2324) = 5391680 / 4
LCM(2320,2324) = 1347920

Properties of LCM 2320 and 2324

(i) The LCM of 2324 and 2320 is associative

LCM of 2320 and 2324 = LCM of 2324 and 2320

Related Least Common Multiples of 2320

Related Least Common Multiples of 2324

Frequently Asked Questions on LCM of 2320 and 2324

1. What is the LCM of 2320 and 2324?

Answer: LCM of 2320 and 2324 is 1347920.

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 2324?

Answer: Factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324. There are 12 integers that are factors of 2324. The greatest factor of 2324 is 2324.

4. How to Find the LCM of 2320 and 2324?

Answer:

Least Common Multiple of 2320 and 2324 = 1347920

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 2324

2324 = 2 x 2 x 7 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 = 1347920 = 2 x 2 x 2 x 2 x 5 x 7 x 29 x 83

Step 4: Therefore, the least common multiple of 2320 and 2324 is 1347920.