Least Common Multiple of 316 and 324

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 324 the smallest integer that is 25596 that is divisible by both numbers.

Least Common Multiple (LCM) of 316 and 324 is 25596.

LCM(316,324) = 25596

LCM of 316 and 324

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

LCM of:
and

Least Common Multiple of 316 and 324

LCM of 316 and 324 is 25596

Least common multiple can be found by multiplying the highest exponent prime factors of 316 and 324. First we will calculate the prime factors of 316 and 324.

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 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

Now multiplying the highest exponent prime factors to calculate the LCM of 316 and 324.

LCM(316,324) = 22×34×791
LCM(316,324) = 25596

Factors of 316

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

1, 2, 4, 79, 158, 316

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Least Common Multiple of 316 and 324 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 324, than apply into the LCM equation.

GCF(316,324) = 4
LCM(316,324) = ( 316 × 324) / 4
LCM(316,324) = 102384 / 4
LCM(316,324) = 25596

Properties of LCM 316 and 324

(i) The LCM of 324 and 316 is associative

LCM of 316 and 324 = LCM of 324 and 316

Related Least Common Multiples of 316

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 316 and 324

1. What is the LCM of 316 and 324?

Answer: LCM of 316 and 324 is 25596.

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 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

4. How to Find the LCM of 316 and 324?

Answer:

Least Common Multiple of 316 and 324 = 25596

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

Step 2: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

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

LCM = 25596 = 2 x 2 x 3 x 3 x 3 x 3 x 79

Step 4: Therefore, the least common multiple of 316 and 324 is 25596.