Least Common Multiple of 315 and 319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 315 and 319 the smallest integer that is 100485 that is divisible by both numbers.

Least Common Multiple (LCM) of 315 and 319 is 100485.

LCM(315,319) = 100485

LCM of 315 and 319

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

LCM of:
and

Least Common Multiple of 315 and 319

LCM of 315 and 319 is 100485

Least common multiple can be found by multiplying the highest exponent prime factors of 315 and 319. First we will calculate the prime factors of 315 and 319.

Prime Factorization of 315


3 315
3 105
5 35
7 7
1

Prime factors of 315 are 3, 5,7. Prime factorization of 315 in exponential form is:

315 = 32×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 315 and 319.

LCM(315,319) = 32×51×71×111×291
LCM(315,319) = 100485

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Factors of 319

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

1, 11, 29, 319

Least Common Multiple of 315 and 319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 319, than apply into the LCM equation.

GCF(315,319) = 1
LCM(315,319) = ( 315 × 319) / 1
LCM(315,319) = 100485 / 1
LCM(315,319) = 100485

Properties of LCM 315 and 319

(i) The LCM of 319 and 315 is associative

LCM of 315 and 319 = LCM of 319 and 315

Related Least Common Multiples of 315

Related Least Common Multiples of 319

Frequently Asked Questions on LCM of 315 and 319

1. What is the LCM of 315 and 319?

Answer: LCM of 315 and 319 is 100485.

2. What are the Factors of 315?

Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.

3. 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.

4. How to Find the LCM of 315 and 319?

Answer:

Least Common Multiple of 315 and 319 = 100485

Step 1: Find the prime factorization of 315

315 = 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 319

319 = 11 x 29

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

LCM = 100485 = 3 x 3 x 5 x 7 x 11 x 29

Step 4: Therefore, the least common multiple of 315 and 319 is 100485.