Least Common Multiple of 271 and 273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 271 and 273 the smallest integer that is 73983 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 273 is 73983.

LCM(271,273) = 73983

LCM of 271 and 273

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

LCM of:
and

Least Common Multiple of 271 and 273

LCM of 271 and 273 is 73983

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 273. First we will calculate the prime factors of 271 and 273.

Prime Factorization of 271


271 271
1

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

Prime Factorization of 273


3 273
7 91
13 13
1

Prime factors of 273 are 3, 7,13. Prime factorization of 273 in exponential form is:

273 = 31×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 273.

LCM(271,273) = 31×71×131×2711
LCM(271,273) = 73983

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1, 271

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Least Common Multiple of 271 and 273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 271 and 273, than apply into the LCM equation.

GCF(271,273) = 1
LCM(271,273) = ( 271 × 273) / 1
LCM(271,273) = 73983 / 1
LCM(271,273) = 73983

Properties of LCM 271 and 273

(i) The LCM of 273 and 271 is associative

LCM of 271 and 273 = LCM of 273 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 271 and 273

1. What is the LCM of 271 and 273?

Answer: LCM of 271 and 273 is 73983.

2. What are the Factors of 271?

Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.

3. What are the Factors of 273?

Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.

4. How to Find the LCM of 271 and 273?

Answer:

Least Common Multiple of 271 and 273 = 73983

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 273

273 = 3 x 7 x 13

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

LCM = 73983 = 3 x 7 x 13 x 271

Step 4: Therefore, the least common multiple of 271 and 273 is 73983.