Least Common Multiple of 271 and 277

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 277 the smallest integer that is 75067 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 277 is 75067.

LCM(271,277) = 75067

LCM of 271 and 277

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

LCM of:
and

Least Common Multiple of 271 and 277

LCM of 271 and 277 is 75067

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 277. First we will calculate the prime factors of 271 and 277.

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 277


277 277
1

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 277.

LCM(271,277) = 2711×2771
LCM(271,277) = 75067

Factors of 271

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

1, 271

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1, 277

Least Common Multiple of 271 and 277 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 277, than apply into the LCM equation.

GCF(271,277) = 1
LCM(271,277) = ( 271 × 277) / 1
LCM(271,277) = 75067 / 1
LCM(271,277) = 75067

Properties of LCM 271 and 277

(i) The LCM of 277 and 271 is associative

LCM of 271 and 277 = LCM of 277 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 277

Frequently Asked Questions on LCM of 271 and 277

1. What is the LCM of 271 and 277?

Answer: LCM of 271 and 277 is 75067.

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 277?

Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.

4. How to Find the LCM of 271 and 277?

Answer:

Least Common Multiple of 271 and 277 = 75067

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 277

277 = 277

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

LCM = 75067 = 271 x 277

Step 4: Therefore, the least common multiple of 271 and 277 is 75067.