Least Common Multiple of 267 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 267 and 272 the smallest integer that is 72624 that is divisible by both numbers.

Least Common Multiple (LCM) of 267 and 272 is 72624.

LCM(267,272) = 72624

LCM of 267 and 272

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

LCM of:
and

Least Common Multiple of 267 and 272

LCM of 267 and 272 is 72624

Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 272. First we will calculate the prime factors of 267 and 272.

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 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 267 and 272.

LCM(267,272) = 24×31×171×891
LCM(267,272) = 72624

Factors of 267

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

1, 3, 89, 267

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 267 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 267 and 272, than apply into the LCM equation.

GCF(267,272) = 1
LCM(267,272) = ( 267 × 272) / 1
LCM(267,272) = 72624 / 1
LCM(267,272) = 72624

Properties of LCM 267 and 272

(i) The LCM of 272 and 267 is associative

LCM of 267 and 272 = LCM of 272 and 267

Related Least Common Multiples of 267

Related Least Common Multiples of 272

Frequently Asked Questions on LCM of 267 and 272

1. What is the LCM of 267 and 272?

Answer: LCM of 267 and 272 is 72624.

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 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 267 and 272?

Answer:

Least Common Multiple of 267 and 272 = 72624

Step 1: Find the prime factorization of 267

267 = 3 x 89

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 = 72624 = 2 x 2 x 2 x 2 x 3 x 17 x 89

Step 4: Therefore, the least common multiple of 267 and 272 is 72624.