Least Common Multiple of 271 and 276

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 276 the smallest integer that is 74796 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 276 is 74796.

LCM(271,276) = 74796

LCM of 271 and 276

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

LCM of:
and

Least Common Multiple of 271 and 276

LCM of 271 and 276 is 74796

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 276. First we will calculate the prime factors of 271 and 276.

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 276


2 276
2 138
3 69
23 23
1

Prime factors of 276 are 2, 3,23. Prime factorization of 276 in exponential form is:

276 = 22×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 276.

LCM(271,276) = 22×31×231×2711
LCM(271,276) = 74796

Factors of 271

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

1, 271

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Least Common Multiple of 271 and 276 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 276, than apply into the LCM equation.

GCF(271,276) = 1
LCM(271,276) = ( 271 × 276) / 1
LCM(271,276) = 74796 / 1
LCM(271,276) = 74796

Properties of LCM 271 and 276

(i) The LCM of 276 and 271 is associative

LCM of 271 and 276 = LCM of 276 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 276

Frequently Asked Questions on LCM of 271 and 276

1. What is the LCM of 271 and 276?

Answer: LCM of 271 and 276 is 74796.

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 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

4. How to Find the LCM of 271 and 276?

Answer:

Least Common Multiple of 271 and 276 = 74796

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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

LCM = 74796 = 2 x 2 x 3 x 23 x 271

Step 4: Therefore, the least common multiple of 271 and 276 is 74796.