Least Common Multiple of 264 and 266

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 266 the smallest integer that is 35112 that is divisible by both numbers.

Least Common Multiple (LCM) of 264 and 266 is 35112.

LCM(264,266) = 35112

LCM of 264 and 266

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

LCM of:
and

Least Common Multiple of 264 and 266

LCM of 264 and 266 is 35112

Least common multiple can be found by multiplying the highest exponent prime factors of 264 and 266. First we will calculate the prime factors of 264 and 266.

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 266


2 266
7 133
19 19
1

Prime factors of 266 are 2, 7,19. Prime factorization of 266 in exponential form is:

266 = 21×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 264 and 266.

LCM(264,266) = 23×31×71×111×191
LCM(264,266) = 35112

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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Least Common Multiple of 264 and 266 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 266, than apply into the LCM equation.

GCF(264,266) = 2
LCM(264,266) = ( 264 × 266) / 2
LCM(264,266) = 70224 / 2
LCM(264,266) = 35112

Properties of LCM 264 and 266

(i) The LCM of 266 and 264 is associative

LCM of 264 and 266 = LCM of 266 and 264

Related Least Common Multiples of 264

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 264 and 266

1. What is the LCM of 264 and 266?

Answer: LCM of 264 and 266 is 35112.

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 266?

Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.

4. How to Find the LCM of 264 and 266?

Answer:

Least Common Multiple of 264 and 266 = 35112

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 266

266 = 2 x 7 x 19

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

LCM = 35112 = 2 x 2 x 2 x 3 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 264 and 266 is 35112.