Least Common Multiple of 267 and 268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 267 and 268 the smallest integer that is 71556 that is divisible by both numbers.

Least Common Multiple (LCM) of 267 and 268 is 71556.

LCM(267,268) = 71556

LCM of 267 and 268

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

LCM of:
and

Least Common Multiple of 267 and 268

LCM of 267 and 268 is 71556

Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 268. First we will calculate the prime factors of 267 and 268.

Prime Factorization of 267


3 267
89 89
1

Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:

267 = 31×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 267 and 268.

LCM(267,268) = 22×31×671×891
LCM(267,268) = 71556

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Factors of 268

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

1, 2, 4, 67, 134, 268

Least Common Multiple of 267 and 268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 267 and 268, than apply into the LCM equation.

GCF(267,268) = 1
LCM(267,268) = ( 267 × 268) / 1
LCM(267,268) = 71556 / 1
LCM(267,268) = 71556

Properties of LCM 267 and 268

(i) The LCM of 268 and 267 is associative

LCM of 267 and 268 = LCM of 268 and 267

Related Least Common Multiples of 267

Related Least Common Multiples of 268

Frequently Asked Questions on LCM of 267 and 268

1. What is the LCM of 267 and 268?

Answer: LCM of 267 and 268 is 71556.

2. What are the Factors of 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

3. 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.

4. How to Find the LCM of 267 and 268?

Answer:

Least Common Multiple of 267 and 268 = 71556

Step 1: Find the prime factorization of 267

267 = 3 x 89

Step 2: Find the prime factorization of 268

268 = 2 x 2 x 67

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

LCM = 71556 = 2 x 2 x 3 x 67 x 89

Step 4: Therefore, the least common multiple of 267 and 268 is 71556.