Least Common Multiple of 264 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 264 and 269 the smallest integer that is 71016 that is divisible by both numbers.

Least Common Multiple (LCM) of 264 and 269 is 71016.

LCM(264,269) = 71016

LCM of 264 and 269

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

LCM of:
and

Least Common Multiple of 264 and 269

LCM of 264 and 269 is 71016

Least common multiple can be found by multiplying the highest exponent prime factors of 264 and 269. First we will calculate the prime factors of 264 and 269.

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

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 264 and 269.

LCM(264,269) = 23×31×111×2691
LCM(264,269) = 71016

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

Factors of 269

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

1, 269

Least Common Multiple of 264 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 264 and 269, than apply into the LCM equation.

GCF(264,269) = 1
LCM(264,269) = ( 264 × 269) / 1
LCM(264,269) = 71016 / 1
LCM(264,269) = 71016

Properties of LCM 264 and 269

(i) The LCM of 269 and 264 is associative

LCM of 264 and 269 = LCM of 269 and 264

Related Least Common Multiples of 264

Related Least Common Multiples of 269

Frequently Asked Questions on LCM of 264 and 269

1. What is the LCM of 264 and 269?

Answer: LCM of 264 and 269 is 71016.

2. 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.

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 264 and 269?

Answer:

Least Common Multiple of 264 and 269 = 71016

Step 1: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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 = 71016 = 2 x 2 x 2 x 3 x 11 x 269

Step 4: Therefore, the least common multiple of 264 and 269 is 71016.