Least Common Multiple of 273 and 280

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 280 the smallest integer that is 10920 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 280 is 10920.

LCM(273,280) = 10920

LCM of 273 and 280

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

LCM of:
and

Least Common Multiple of 273 and 280

LCM of 273 and 280 is 10920

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 280. First we will calculate the prime factors of 273 and 280.

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 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2, 5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 280.

LCM(273,280) = 23×31×51×71×131
LCM(273,280) = 10920

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 280

List of positive integer factors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Least Common Multiple of 273 and 280 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 280, than apply into the LCM equation.

GCF(273,280) = 7
LCM(273,280) = ( 273 × 280) / 7
LCM(273,280) = 76440 / 7
LCM(273,280) = 10920

Properties of LCM 273 and 280

(i) The LCM of 280 and 273 is associative

LCM of 273 and 280 = LCM of 280 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 280

Frequently Asked Questions on LCM of 273 and 280

1. What is the LCM of 273 and 280?

Answer: LCM of 273 and 280 is 10920.

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 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

4. How to Find the LCM of 273 and 280?

Answer:

Least Common Multiple of 273 and 280 = 10920

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

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

LCM = 10920 = 2 x 2 x 2 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 273 and 280 is 10920.