Least Common Multiple of 271 and 279

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 279 the smallest integer that is 75609 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 279 is 75609.

LCM(271,279) = 75609

LCM of 271 and 279

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

LCM of:
and

Least Common Multiple of 271 and 279

LCM of 271 and 279 is 75609

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 279. First we will calculate the prime factors of 271 and 279.

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 279


3 279
3 93
31 31
1

Prime factors of 279 are 3,31. Prime factorization of 279 in exponential form is:

279 = 32×311

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 279.

LCM(271,279) = 32×311×2711
LCM(271,279) = 75609

Factors of 271

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

1, 271

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Least Common Multiple of 271 and 279 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 279, than apply into the LCM equation.

GCF(271,279) = 1
LCM(271,279) = ( 271 × 279) / 1
LCM(271,279) = 75609 / 1
LCM(271,279) = 75609

Properties of LCM 271 and 279

(i) The LCM of 279 and 271 is associative

LCM of 271 and 279 = LCM of 279 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 279

Frequently Asked Questions on LCM of 271 and 279

1. What is the LCM of 271 and 279?

Answer: LCM of 271 and 279 is 75609.

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 279?

Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.

4. How to Find the LCM of 271 and 279?

Answer:

Least Common Multiple of 271 and 279 = 75609

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 279

279 = 3 x 3 x 31

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

LCM = 75609 = 3 x 3 x 31 x 271

Step 4: Therefore, the least common multiple of 271 and 279 is 75609.