Least Common Multiple of 271 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 271 and 275 the smallest integer that is 74525 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 275 is 74525.

LCM(271,275) = 74525

LCM of 271 and 275

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

LCM of:
and

Least Common Multiple of 271 and 275

LCM of 271 and 275 is 74525

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 275. First we will calculate the prime factors of 271 and 275.

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 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 271 and 275.

LCM(271,275) = 52×111×2711
LCM(271,275) = 74525

Factors of 271

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

1, 271

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 271 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 271 and 275, than apply into the LCM equation.

GCF(271,275) = 1
LCM(271,275) = ( 271 × 275) / 1
LCM(271,275) = 74525 / 1
LCM(271,275) = 74525

Properties of LCM 271 and 275

(i) The LCM of 275 and 271 is associative

LCM of 271 and 275 = LCM of 275 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 275

Frequently Asked Questions on LCM of 271 and 275

1. What is the LCM of 271 and 275?

Answer: LCM of 271 and 275 is 74525.

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 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 271 and 275?

Answer:

Least Common Multiple of 271 and 275 = 74525

Step 1: Find the prime factorization of 271

271 = 271

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 = 74525 = 5 x 5 x 11 x 271

Step 4: Therefore, the least common multiple of 271 and 275 is 74525.