Least Common Multiple of 268 and 272

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 272 the smallest integer that is 18224 that is divisible by both numbers.

Least Common Multiple (LCM) of 268 and 272 is 18224.

LCM(268,272) = 18224

LCM of 268 and 272

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

LCM of:
and

Least Common Multiple of 268 and 272

LCM of 268 and 272 is 18224

Least common multiple can be found by multiplying the highest exponent prime factors of 268 and 272. First we will calculate the prime factors of 268 and 272.

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 272


2 272
2 136
2 68
2 34
17 17
1

Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:

272 = 24×171

Now multiplying the highest exponent prime factors to calculate the LCM of 268 and 272.

LCM(268,272) = 24×171×671
LCM(268,272) = 18224

Factors of 268

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

1, 2, 4, 67, 134, 268

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Least Common Multiple of 268 and 272 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 272, than apply into the LCM equation.

GCF(268,272) = 4
LCM(268,272) = ( 268 × 272) / 4
LCM(268,272) = 72896 / 4
LCM(268,272) = 18224

Properties of LCM 268 and 272

(i) The LCM of 272 and 268 is associative

LCM of 268 and 272 = LCM of 272 and 268

Related Least Common Multiples of 268

Related Least Common Multiples of 272

Frequently Asked Questions on LCM of 268 and 272

1. What is the LCM of 268 and 272?

Answer: LCM of 268 and 272 is 18224.

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 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

4. How to Find the LCM of 268 and 272?

Answer:

Least Common Multiple of 268 and 272 = 18224

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

Step 2: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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

LCM = 18224 = 2 x 2 x 2 x 2 x 17 x 67

Step 4: Therefore, the least common multiple of 268 and 272 is 18224.