Least Common Multiple of 273 and 279

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 279 the smallest integer that is 25389 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 279 is 25389.

LCM(273,279) = 25389

LCM of 273 and 279

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

LCM of:
and

Least Common Multiple of 273 and 279

LCM of 273 and 279 is 25389

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 279. First we will calculate the prime factors of 273 and 279.

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 279


3 279
3 93
31 31
1

Prime factors of 279 are 3,31. Prime factorization of 279 in exponential form is:

279 = 32×311

Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 279.

LCM(273,279) = 32×71×131×311
LCM(273,279) = 25389

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 279

List of positive integer factors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Least Common Multiple of 273 and 279 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 279, than apply into the LCM equation.

GCF(273,279) = 3
LCM(273,279) = ( 273 × 279) / 3
LCM(273,279) = 76167 / 3
LCM(273,279) = 25389

Properties of LCM 273 and 279

(i) The LCM of 279 and 273 is associative

LCM of 273 and 279 = LCM of 279 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 279

Frequently Asked Questions on LCM of 273 and 279

1. What is the LCM of 273 and 279?

Answer: LCM of 273 and 279 is 25389.

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 279?

Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.

4. How to Find the LCM of 273 and 279?

Answer:

Least Common Multiple of 273 and 279 = 25389

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 279

279 = 3 x 3 x 31

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

LCM = 25389 = 3 x 3 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 273 and 279 is 25389.