Least Common Multiple of 261 and 264

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 264 the smallest integer that is 22968 that is divisible by both numbers.

Least Common Multiple (LCM) of 261 and 264 is 22968.

LCM(261,264) = 22968

LCM of 261 and 264

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

LCM of:
and

Least Common Multiple of 261 and 264

LCM of 261 and 264 is 22968

Least common multiple can be found by multiplying the highest exponent prime factors of 261 and 264. First we will calculate the prime factors of 261 and 264.

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 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2, 3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 261 and 264.

LCM(261,264) = 23×32×111×291
LCM(261,264) = 22968

Factors of 261

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

1, 3, 9, 29, 87, 261

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Least Common Multiple of 261 and 264 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 264, than apply into the LCM equation.

GCF(261,264) = 3
LCM(261,264) = ( 261 × 264) / 3
LCM(261,264) = 68904 / 3
LCM(261,264) = 22968

Properties of LCM 261 and 264

(i) The LCM of 264 and 261 is associative

LCM of 261 and 264 = LCM of 264 and 261

Related Least Common Multiples of 261

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 261 and 264

1. What is the LCM of 261 and 264?

Answer: LCM of 261 and 264 is 22968.

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 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

4. How to Find the LCM of 261 and 264?

Answer:

Least Common Multiple of 261 and 264 = 22968

Step 1: Find the prime factorization of 261

261 = 3 x 3 x 29

Step 2: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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

LCM = 22968 = 2 x 2 x 2 x 3 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 261 and 264 is 22968.