Least Common Multiple of 271 and 272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 271 and 272 the smallest integer that is 73712 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 272 is 73712.

LCM(271,272) = 73712

LCM of 271 and 272

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

LCM of:
and

Least Common Multiple of 271 and 272

LCM of 271 and 272 is 73712

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 272. First we will calculate the prime factors of 271 and 272.

Prime Factorization of 271


271 271
1

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 272.

LCM(271,272) = 24×171×2711
LCM(271,272) = 73712

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1, 271

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

Least Common Multiple of 271 and 272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 271 and 272, than apply into the LCM equation.

GCF(271,272) = 1
LCM(271,272) = ( 271 × 272) / 1
LCM(271,272) = 73712 / 1
LCM(271,272) = 73712

Properties of LCM 271 and 272

(i) The LCM of 272 and 271 is associative

LCM of 271 and 272 = LCM of 272 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 272

Frequently Asked Questions on LCM of 271 and 272

1. What is the LCM of 271 and 272?

Answer: LCM of 271 and 272 is 73712.

2. What are the Factors of 271?

Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.

3. 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.

4. How to Find the LCM of 271 and 272?

Answer:

Least Common Multiple of 271 and 272 = 73712

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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

LCM = 73712 = 2 x 2 x 2 x 2 x 17 x 271

Step 4: Therefore, the least common multiple of 271 and 272 is 73712.