Least Common Multiple of 273 and 281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 273 and 281 the smallest integer that is 76713 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 281 is 76713.

LCM(273,281) = 76713

LCM of 273 and 281

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

LCM of:
and

Least Common Multiple of 273 and 281

LCM of 273 and 281 is 76713

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 281. First we will calculate the prime factors of 273 and 281.

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

Prime Factorization of 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 281.

LCM(273,281) = 31×71×131×2811
LCM(273,281) = 76713

Factors of 273

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

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

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1, 281

Least Common Multiple of 273 and 281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 273 and 281, than apply into the LCM equation.

GCF(273,281) = 1
LCM(273,281) = ( 273 × 281) / 1
LCM(273,281) = 76713 / 1
LCM(273,281) = 76713

Properties of LCM 273 and 281

(i) The LCM of 281 and 273 is associative

LCM of 273 and 281 = LCM of 281 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 281

Frequently Asked Questions on LCM of 273 and 281

1. What is the LCM of 273 and 281?

Answer: LCM of 273 and 281 is 76713.

2. 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.

3. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

4. How to Find the LCM of 273 and 281?

Answer:

Least Common Multiple of 273 and 281 = 76713

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 281

281 = 281

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

LCM = 76713 = 3 x 7 x 13 x 281

Step 4: Therefore, the least common multiple of 273 and 281 is 76713.