Least Common Multiple of 319 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 319 and 324 the smallest integer that is 103356 that is divisible by both numbers.

Least Common Multiple (LCM) of 319 and 324 is 103356.

LCM(319,324) = 103356

LCM of 319 and 324

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

LCM of:
and

Least Common Multiple of 319 and 324

LCM of 319 and 324 is 103356

Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 324. First we will calculate the prime factors of 319 and 324.

Prime Factorization of 319


11 319
29 29
1

Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:

319 = 111×291

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 319 and 324.

LCM(319,324) = 22×34×111×291
LCM(319,324) = 103356

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 319 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 319 and 324, than apply into the LCM equation.

GCF(319,324) = 1
LCM(319,324) = ( 319 × 324) / 1
LCM(319,324) = 103356 / 1
LCM(319,324) = 103356

Properties of LCM 319 and 324

(i) The LCM of 324 and 319 is associative

LCM of 319 and 324 = LCM of 324 and 319

Related Least Common Multiples of 319

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 319 and 324

1. What is the LCM of 319 and 324?

Answer: LCM of 319 and 324 is 103356.

2. What are the Factors of 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

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 319 and 324?

Answer:

Least Common Multiple of 319 and 324 = 103356

Step 1: Find the prime factorization of 319

319 = 11 x 29

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 = 103356 = 2 x 2 x 3 x 3 x 3 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 319 and 324 is 103356.