Least Common Multiple of 262 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 262 and 264 the smallest integer that is 34584 that is divisible by both numbers.

Least Common Multiple (LCM) of 262 and 264 is 34584.

LCM(262,264) = 34584

LCM of 262 and 264

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

LCM of:
and

Least Common Multiple of 262 and 264

LCM of 262 and 264 is 34584

Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 264. First we will calculate the prime factors of 262 and 264.

Prime Factorization of 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

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 262 and 264.

LCM(262,264) = 23×31×111×1311
LCM(262,264) = 34584

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 262 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 262 and 264, than apply into the LCM equation.

GCF(262,264) = 2
LCM(262,264) = ( 262 × 264) / 2
LCM(262,264) = 69168 / 2
LCM(262,264) = 34584

Properties of LCM 262 and 264

(i) The LCM of 264 and 262 is associative

LCM of 262 and 264 = LCM of 264 and 262

Related Least Common Multiples of 262

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 262 and 264

1. What is the LCM of 262 and 264?

Answer: LCM of 262 and 264 is 34584.

2. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

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 262 and 264?

Answer:

Least Common Multiple of 262 and 264 = 34584

Step 1: Find the prime factorization of 262

262 = 2 x 131

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 = 34584 = 2 x 2 x 2 x 3 x 11 x 131

Step 4: Therefore, the least common multiple of 262 and 264 is 34584.