Least Common Multiple of 271 and 274

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 274 the smallest integer that is 74254 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 274 is 74254.

LCM(271,274) = 74254

LCM of 271 and 274

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

LCM of:
and

Least Common Multiple of 271 and 274

LCM of 271 and 274 is 74254

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 274. First we will calculate the prime factors of 271 and 274.

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 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 274.

LCM(271,274) = 21×1371×2711
LCM(271,274) = 74254

Factors of 271

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

1, 271

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Least Common Multiple of 271 and 274 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 274, than apply into the LCM equation.

GCF(271,274) = 1
LCM(271,274) = ( 271 × 274) / 1
LCM(271,274) = 74254 / 1
LCM(271,274) = 74254

Properties of LCM 271 and 274

(i) The LCM of 274 and 271 is associative

LCM of 271 and 274 = LCM of 274 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 274

Frequently Asked Questions on LCM of 271 and 274

1. What is the LCM of 271 and 274?

Answer: LCM of 271 and 274 is 74254.

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 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

4. How to Find the LCM of 271 and 274?

Answer:

Least Common Multiple of 271 and 274 = 74254

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 274

274 = 2 x 137

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

LCM = 74254 = 2 x 137 x 271

Step 4: Therefore, the least common multiple of 271 and 274 is 74254.