Least Common Multiple of 268 and 271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 268 and 271 the smallest integer that is 72628 that is divisible by both numbers.

Least Common Multiple (LCM) of 268 and 271 is 72628.

LCM(268,271) = 72628

LCM of 268 and 271

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

LCM of:
and

Least Common Multiple of 268 and 271

LCM of 268 and 271 is 72628

Least common multiple can be found by multiplying the highest exponent prime factors of 268 and 271. First we will calculate the prime factors of 268 and 271.

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Prime Factorization of 271


271 271
1

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 268 and 271.

LCM(268,271) = 22×671×2711
LCM(268,271) = 72628

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Factors of 271

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

1, 271

Least Common Multiple of 268 and 271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 271, than apply into the LCM equation.

GCF(268,271) = 1
LCM(268,271) = ( 268 × 271) / 1
LCM(268,271) = 72628 / 1
LCM(268,271) = 72628

Properties of LCM 268 and 271

(i) The LCM of 271 and 268 is associative

LCM of 268 and 271 = LCM of 271 and 268

Related Least Common Multiples of 268

Related Least Common Multiples of 271

Frequently Asked Questions on LCM of 268 and 271

1. What is the LCM of 268 and 271?

Answer: LCM of 268 and 271 is 72628.

2. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

3. 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.

4. How to Find the LCM of 268 and 271?

Answer:

Least Common Multiple of 268 and 271 = 72628

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

Step 2: Find the prime factorization of 271

271 = 271

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

LCM = 72628 = 2 x 2 x 67 x 271

Step 4: Therefore, the least common multiple of 268 and 271 is 72628.