Least Common Multiple of 271 and 278

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 278 the smallest integer that is 75338 that is divisible by both numbers.

Least Common Multiple (LCM) of 271 and 278 is 75338.

LCM(271,278) = 75338

LCM of 271 and 278

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

LCM of:
and

Least Common Multiple of 271 and 278

LCM of 271 and 278 is 75338

Least common multiple can be found by multiplying the highest exponent prime factors of 271 and 278. First we will calculate the prime factors of 271 and 278.

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 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 271 and 278.

LCM(271,278) = 21×1391×2711
LCM(271,278) = 75338

Factors of 271

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

1, 271

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Least Common Multiple of 271 and 278 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 278, than apply into the LCM equation.

GCF(271,278) = 1
LCM(271,278) = ( 271 × 278) / 1
LCM(271,278) = 75338 / 1
LCM(271,278) = 75338

Properties of LCM 271 and 278

(i) The LCM of 278 and 271 is associative

LCM of 271 and 278 = LCM of 278 and 271

Related Least Common Multiples of 271

Related Least Common Multiples of 278

Frequently Asked Questions on LCM of 271 and 278

1. What is the LCM of 271 and 278?

Answer: LCM of 271 and 278 is 75338.

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 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

4. How to Find the LCM of 271 and 278?

Answer:

Least Common Multiple of 271 and 278 = 75338

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 278

278 = 2 x 139

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

LCM = 75338 = 2 x 139 x 271

Step 4: Therefore, the least common multiple of 271 and 278 is 75338.