Least Common Multiple of 320 and 322

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 322 the smallest integer that is 51520 that is divisible by both numbers.

Least Common Multiple (LCM) of 320 and 322 is 51520.

LCM(320,322) = 51520

LCM of 320 and 322

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

LCM of:
and

Least Common Multiple of 320 and 322

LCM of 320 and 322 is 51520

Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 322. First we will calculate the prime factors of 320 and 322.

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 322


2 322
7 161
23 23
1

Prime factors of 322 are 2, 7,23. Prime factorization of 322 in exponential form is:

322 = 21×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 320 and 322.

LCM(320,322) = 26×51×71×231
LCM(320,322) = 51520

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 322

List of positive integer factors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Least Common Multiple of 320 and 322 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 322, than apply into the LCM equation.

GCF(320,322) = 2
LCM(320,322) = ( 320 × 322) / 2
LCM(320,322) = 103040 / 2
LCM(320,322) = 51520

Properties of LCM 320 and 322

(i) The LCM of 322 and 320 is associative

LCM of 320 and 322 = LCM of 322 and 320

Related Least Common Multiples of 320

Related Least Common Multiples of 322

Frequently Asked Questions on LCM of 320 and 322

1. What is the LCM of 320 and 322?

Answer: LCM of 320 and 322 is 51520.

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 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

4. How to Find the LCM of 320 and 322?

Answer:

Least Common Multiple of 320 and 322 = 51520

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 322

322 = 2 x 7 x 23

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

LCM = 51520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 320 and 322 is 51520.