Least Common Multiple of 313 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 313 and 319 the smallest integer that is 99847 that is divisible by both numbers.

Least Common Multiple (LCM) of 313 and 319 is 99847.

LCM(313,319) = 99847

LCM of 313 and 319

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

LCM of:
and

Least Common Multiple of 313 and 319

LCM of 313 and 319 is 99847

Least common multiple can be found by multiplying the highest exponent prime factors of 313 and 319. First we will calculate the prime factors of 313 and 319.

Prime Factorization of 313


313 313
1

Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:

313 = 3131

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 313 and 319.

LCM(313,319) = 111×291×3131
LCM(313,319) = 99847

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1, 313

Factors of 319

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

1, 11, 29, 319

Least Common Multiple of 313 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 313 and 319, than apply into the LCM equation.

GCF(313,319) = 1
LCM(313,319) = ( 313 × 319) / 1
LCM(313,319) = 99847 / 1
LCM(313,319) = 99847

Properties of LCM 313 and 319

(i) The LCM of 319 and 313 is associative

LCM of 313 and 319 = LCM of 319 and 313

Related Least Common Multiples of 313

Related Least Common Multiples of 319

Frequently Asked Questions on LCM of 313 and 319

1. What is the LCM of 313 and 319?

Answer: LCM of 313 and 319 is 99847.

2. What are the Factors of 313?

Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.

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 313 and 319?

Answer:

Least Common Multiple of 313 and 319 = 99847

Step 1: Find the prime factorization of 313

313 = 313

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 = 99847 = 11 x 29 x 313

Step 4: Therefore, the least common multiple of 313 and 319 is 99847.