Least Common Multiple of 316 and 323

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 323 the smallest integer that is 102068 that is divisible by both numbers.

Least Common Multiple (LCM) of 316 and 323 is 102068.

LCM(316,323) = 102068

LCM of 316 and 323

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

LCM of:
and

Least Common Multiple of 316 and 323

LCM of 316 and 323 is 102068

Least common multiple can be found by multiplying the highest exponent prime factors of 316 and 323. First we will calculate the prime factors of 316 and 323.

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 323


17 323
19 19
1

Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:

323 = 171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 316 and 323.

LCM(316,323) = 22×171×191×791
LCM(316,323) = 102068

Factors of 316

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

1, 2, 4, 79, 158, 316

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Least Common Multiple of 316 and 323 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 323, than apply into the LCM equation.

GCF(316,323) = 1
LCM(316,323) = ( 316 × 323) / 1
LCM(316,323) = 102068 / 1
LCM(316,323) = 102068

Properties of LCM 316 and 323

(i) The LCM of 323 and 316 is associative

LCM of 316 and 323 = LCM of 323 and 316

Related Least Common Multiples of 316

Related Least Common Multiples of 323

Frequently Asked Questions on LCM of 316 and 323

1. What is the LCM of 316 and 323?

Answer: LCM of 316 and 323 is 102068.

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 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

4. How to Find the LCM of 316 and 323?

Answer:

Least Common Multiple of 316 and 323 = 102068

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

Step 2: Find the prime factorization of 323

323 = 17 x 19

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

LCM = 102068 = 2 x 2 x 17 x 19 x 79

Step 4: Therefore, the least common multiple of 316 and 323 is 102068.