Least Common Multiple of 316 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 316 and 322 the smallest integer that is 50876 that is divisible by both numbers.

Least Common Multiple (LCM) of 316 and 322 is 50876.

LCM(316,322) = 50876

LCM of 316 and 322

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

LCM of:
and

Least Common Multiple of 316 and 322

LCM of 316 and 322 is 50876

Least common multiple can be found by multiplying the highest exponent prime factors of 316 and 322. First we will calculate the prime factors of 316 and 322.

Prime Factorization of 316


2 316
2 158
79 79
1

Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:

316 = 22×791

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 316 and 322.

LCM(316,322) = 22×71×231×791
LCM(316,322) = 50876

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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 316 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 316 and 322, than apply into the LCM equation.

GCF(316,322) = 2
LCM(316,322) = ( 316 × 322) / 2
LCM(316,322) = 101752 / 2
LCM(316,322) = 50876

Properties of LCM 316 and 322

(i) The LCM of 322 and 316 is associative

LCM of 316 and 322 = LCM of 322 and 316

Related Least Common Multiples of 316

Related Least Common Multiples of 322

Frequently Asked Questions on LCM of 316 and 322

1. What is the LCM of 316 and 322?

Answer: LCM of 316 and 322 is 50876.

2. What are the Factors of 316?

Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.

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 316 and 322?

Answer:

Least Common Multiple of 316 and 322 = 50876

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

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 = 50876 = 2 x 2 x 7 x 23 x 79

Step 4: Therefore, the least common multiple of 316 and 322 is 50876.