Least Common Multiple of 258 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 258 and 264 the smallest integer that is 11352 that is divisible by both numbers.

Least Common Multiple (LCM) of 258 and 264 is 11352.

LCM(258,264) = 11352

LCM of 258 and 264

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

LCM of:
and

Least Common Multiple of 258 and 264

LCM of 258 and 264 is 11352

Least common multiple can be found by multiplying the highest exponent prime factors of 258 and 264. First we will calculate the prime factors of 258 and 264.

Prime Factorization of 258


2 258
3 129
43 43
1

Prime factors of 258 are 2, 3,43. Prime factorization of 258 in exponential form is:

258 = 21×31×431

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 258 and 264.

LCM(258,264) = 23×31×111×431
LCM(258,264) = 11352

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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 258 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 258 and 264, than apply into the LCM equation.

GCF(258,264) = 6
LCM(258,264) = ( 258 × 264) / 6
LCM(258,264) = 68112 / 6
LCM(258,264) = 11352

Properties of LCM 258 and 264

(i) The LCM of 264 and 258 is associative

LCM of 258 and 264 = LCM of 264 and 258

Related Least Common Multiples of 258

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 258 and 264

1. What is the LCM of 258 and 264?

Answer: LCM of 258 and 264 is 11352.

2. What are the Factors of 258?

Answer: Factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258. There are 8 integers that are factors of 258. The greatest factor of 258 is 258.

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 258 and 264?

Answer:

Least Common Multiple of 258 and 264 = 11352

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

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 = 11352 = 2 x 2 x 2 x 3 x 11 x 43

Step 4: Therefore, the least common multiple of 258 and 264 is 11352.