Least Common Multiple of 327 and 335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 327 and 335 the smallest integer that is 109545 that is divisible by both numbers.

Least Common Multiple (LCM) of 327 and 335 is 109545.

LCM(327,335) = 109545

LCM of 327 and 335

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

LCM of:
and

Least Common Multiple of 327 and 335

LCM of 327 and 335 is 109545

Least common multiple can be found by multiplying the highest exponent prime factors of 327 and 335. First we will calculate the prime factors of 327 and 335.

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

Prime Factorization of 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 327 and 335.

LCM(327,335) = 31×51×671×1091
LCM(327,335) = 109545

Factors of 327

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

1, 3, 109, 327

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Least Common Multiple of 327 and 335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 327 and 335, than apply into the LCM equation.

GCF(327,335) = 1
LCM(327,335) = ( 327 × 335) / 1
LCM(327,335) = 109545 / 1
LCM(327,335) = 109545

Properties of LCM 327 and 335

(i) The LCM of 335 and 327 is associative

LCM of 327 and 335 = LCM of 335 and 327

Related Least Common Multiples of 327

Related Least Common Multiples of 335

Frequently Asked Questions on LCM of 327 and 335

1. What is the LCM of 327 and 335?

Answer: LCM of 327 and 335 is 109545.

2. 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.

3. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. How to Find the LCM of 327 and 335?

Answer:

Least Common Multiple of 327 and 335 = 109545

Step 1: Find the prime factorization of 327

327 = 3 x 109

Step 2: Find the prime factorization of 335

335 = 5 x 67

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

LCM = 109545 = 3 x 5 x 67 x 109

Step 4: Therefore, the least common multiple of 327 and 335 is 109545.