Least Common Multiple of 261 and 269

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 269 the smallest integer that is 70209 that is divisible by both numbers.

Least Common Multiple (LCM) of 261 and 269 is 70209.

LCM(261,269) = 70209

LCM of 261 and 269

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

LCM of:
and

Least Common Multiple of 261 and 269

LCM of 261 and 269 is 70209

Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 269. First we will calculate the prime factors of 261 and 269.

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 269


269 269
1

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 261 and 269.

LCM(261,269) = 32×291×2691
LCM(261,269) = 70209

Factors of 261

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

1, 3, 9, 29, 87, 261

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1, 269

Least Common Multiple of 261 and 269 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 269, than apply into the LCM equation.

GCF(261,269) = 1
LCM(261,269) = ( 261 × 269) / 1
LCM(261,269) = 70209 / 1
LCM(261,269) = 70209

Properties of LCM 261 and 269

(i) The LCM of 269 and 261 is associative

LCM of 261 and 269 = LCM of 269 and 261

Related Least Common Multiples of 261

Related Least Common Multiples of 269

Frequently Asked Questions on LCM of 261 and 269

1. What is the LCM of 261 and 269?

Answer: LCM of 261 and 269 is 70209.

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 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

4. How to Find the LCM of 261 and 269?

Answer:

Least Common Multiple of 261 and 269 = 70209

Step 1: Find the prime factorization of 261

261 = 3 x 3 x 29

Step 2: Find the prime factorization of 269

269 = 269

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

LCM = 70209 = 3 x 3 x 29 x 269

Step 4: Therefore, the least common multiple of 261 and 269 is 70209.