Least Common Multiple of 273 and 275

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 275 the smallest integer that is 75075 that is divisible by both numbers.

Least Common Multiple (LCM) of 273 and 275 is 75075.

LCM(273,275) = 75075

LCM of 273 and 275

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

LCM of:
and

Least Common Multiple of 273 and 275

LCM of 273 and 275 is 75075

Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 275. First we will calculate the prime factors of 273 and 275.

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 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 275.

LCM(273,275) = 31×52×71×111×131
LCM(273,275) = 75075

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 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Least Common Multiple of 273 and 275 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 275, than apply into the LCM equation.

GCF(273,275) = 1
LCM(273,275) = ( 273 × 275) / 1
LCM(273,275) = 75075 / 1
LCM(273,275) = 75075

Properties of LCM 273 and 275

(i) The LCM of 275 and 273 is associative

LCM of 273 and 275 = LCM of 275 and 273

Related Least Common Multiples of 273

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 273 and 275

1. What is the LCM of 273 and 275?

Answer: LCM of 273 and 275 is 75075.

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 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

4. How to Find the LCM of 273 and 275?

Answer:

Least Common Multiple of 273 and 275 = 75075

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 275

275 = 5 x 5 x 11

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

LCM = 75075 = 3 x 5 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 273 and 275 is 75075.