Least Common Multiple of 319 and 327

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 327 the smallest integer that is 104313 that is divisible by both numbers.

Least Common Multiple (LCM) of 319 and 327 is 104313.

LCM(319,327) = 104313

LCM of 319 and 327

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

LCM of:
and

Least Common Multiple of 319 and 327

LCM of 319 and 327 is 104313

Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 327. First we will calculate the prime factors of 319 and 327.

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 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 319 and 327.

LCM(319,327) = 31×111×291×1091
LCM(319,327) = 104313

Factors of 319

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

1, 11, 29, 319

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Least Common Multiple of 319 and 327 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 327, than apply into the LCM equation.

GCF(319,327) = 1
LCM(319,327) = ( 319 × 327) / 1
LCM(319,327) = 104313 / 1
LCM(319,327) = 104313

Properties of LCM 319 and 327

(i) The LCM of 327 and 319 is associative

LCM of 319 and 327 = LCM of 327 and 319

Related Least Common Multiples of 319

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 319 and 327

1. What is the LCM of 319 and 327?

Answer: LCM of 319 and 327 is 104313.

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 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. How to Find the LCM of 319 and 327?

Answer:

Least Common Multiple of 319 and 327 = 104313

Step 1: Find the prime factorization of 319

319 = 11 x 29

Step 2: Find the prime factorization of 327

327 = 3 x 109

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

LCM = 104313 = 3 x 11 x 29 x 109

Step 4: Therefore, the least common multiple of 319 and 327 is 104313.