Least Common Multiple of 258 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 258 and 266 the smallest integer that is 34314 that is divisible by both numbers.

Least Common Multiple (LCM) of 258 and 266 is 34314.

LCM(258,266) = 34314

LCM of 258 and 266

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

LCM of:
and

Least Common Multiple of 258 and 266

LCM of 258 and 266 is 34314

Least common multiple can be found by multiplying the highest exponent prime factors of 258 and 266. First we will calculate the prime factors of 258 and 266.

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 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 258 and 266.

LCM(258,266) = 21×31×71×191×431
LCM(258,266) = 34314

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 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 258 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 258 and 266, than apply into the LCM equation.

GCF(258,266) = 2
LCM(258,266) = ( 258 × 266) / 2
LCM(258,266) = 68628 / 2
LCM(258,266) = 34314

Properties of LCM 258 and 266

(i) The LCM of 266 and 258 is associative

LCM of 258 and 266 = LCM of 266 and 258

Related Least Common Multiples of 258

Related Least Common Multiples of 266

Frequently Asked Questions on LCM of 258 and 266

1. What is the LCM of 258 and 266?

Answer: LCM of 258 and 266 is 34314.

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 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 258 and 266?

Answer:

Least Common Multiple of 258 and 266 = 34314

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

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 = 34314 = 2 x 3 x 7 x 19 x 43

Step 4: Therefore, the least common multiple of 258 and 266 is 34314.