Least Common Multiple of 258 and 265

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 265 the smallest integer that is 68370 that is divisible by both numbers.

Least Common Multiple (LCM) of 258 and 265 is 68370.

LCM(258,265) = 68370

LCM of 258 and 265

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

LCM of:
and

Least Common Multiple of 258 and 265

LCM of 258 and 265 is 68370

Least common multiple can be found by multiplying the highest exponent prime factors of 258 and 265. First we will calculate the prime factors of 258 and 265.

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 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 258 and 265.

LCM(258,265) = 21×31×51×431×531
LCM(258,265) = 68370

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 265

List of positive integer factors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Least Common Multiple of 258 and 265 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 265, than apply into the LCM equation.

GCF(258,265) = 1
LCM(258,265) = ( 258 × 265) / 1
LCM(258,265) = 68370 / 1
LCM(258,265) = 68370

Properties of LCM 258 and 265

(i) The LCM of 265 and 258 is associative

LCM of 258 and 265 = LCM of 265 and 258

Related Least Common Multiples of 258

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 258 and 265

1. What is the LCM of 258 and 265?

Answer: LCM of 258 and 265 is 68370.

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 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. How to Find the LCM of 258 and 265?

Answer:

Least Common Multiple of 258 and 265 = 68370

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 265

265 = 5 x 53

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

LCM = 68370 = 2 x 3 x 5 x 43 x 53

Step 4: Therefore, the least common multiple of 258 and 265 is 68370.