Least Common Multiple of 261 and 267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 261 and 267 the smallest integer that is 23229 that is divisible by both numbers.

Least Common Multiple (LCM) of 261 and 267 is 23229.

LCM(261,267) = 23229

LCM of 261 and 267

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

LCM of:
and

Least Common Multiple of 261 and 267

LCM of 261 and 267 is 23229

Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 267. First we will calculate the prime factors of 261 and 267.

Prime Factorization of 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 261 and 267.

LCM(261,267) = 32×291×891
LCM(261,267) = 23229

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Factors of 267

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

1, 3, 89, 267

Least Common Multiple of 261 and 267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 261 and 267, than apply into the LCM equation.

GCF(261,267) = 3
LCM(261,267) = ( 261 × 267) / 3
LCM(261,267) = 69687 / 3
LCM(261,267) = 23229

Properties of LCM 261 and 267

(i) The LCM of 267 and 261 is associative

LCM of 261 and 267 = LCM of 267 and 261

Related Least Common Multiples of 261

Related Least Common Multiples of 267

Frequently Asked Questions on LCM of 261 and 267

1. What is the LCM of 261 and 267?

Answer: LCM of 261 and 267 is 23229.

2. What are the Factors of 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

3. 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.

4. How to Find the LCM of 261 and 267?

Answer:

Least Common Multiple of 261 and 267 = 23229

Step 1: Find the prime factorization of 261

261 = 3 x 3 x 29

Step 2: Find the prime factorization of 267

267 = 3 x 89

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

LCM = 23229 = 3 x 3 x 29 x 89

Step 4: Therefore, the least common multiple of 261 and 267 is 23229.