Least Common Multiple of 272 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 272 and 273 the smallest integer that is 74256 that is divisible by both numbers.

Least Common Multiple (LCM) of 272 and 273 is 74256.

LCM(272,273) = 74256

LCM of 272 and 273

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

LCM of:
and

Least Common Multiple of 272 and 273

LCM of 272 and 273 is 74256

Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 273. First we will calculate the prime factors of 272 and 273.

Prime Factorization of 272


2 272
2 136
2 68
2 34
17 17
1

Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:

272 = 24×171

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 272 and 273.

LCM(272,273) = 24×31×71×131×171
LCM(272,273) = 74256

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 272 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 272 and 273, than apply into the LCM equation.

GCF(272,273) = 1
LCM(272,273) = ( 272 × 273) / 1
LCM(272,273) = 74256 / 1
LCM(272,273) = 74256

Properties of LCM 272 and 273

(i) The LCM of 273 and 272 is associative

LCM of 272 and 273 = LCM of 273 and 272

Related Least Common Multiples of 272

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 272 and 273

1. What is the LCM of 272 and 273?

Answer: LCM of 272 and 273 is 74256.

2. What are the Factors of 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

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 272 and 273?

Answer:

Least Common Multiple of 272 and 273 = 74256

Step 1: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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 = 74256 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 272 and 273 is 74256.