Least Common Multiple of 255 and 258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 255 and 258 the smallest integer that is 21930 that is divisible by both numbers.

Least Common Multiple (LCM) of 255 and 258 is 21930.

LCM(255,258) = 21930

LCM of 255 and 258

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

LCM of:
and

Least Common Multiple of 255 and 258

LCM of 255 and 258 is 21930

Least common multiple can be found by multiplying the highest exponent prime factors of 255 and 258. First we will calculate the prime factors of 255 and 258.

Prime Factorization of 255


3 255
5 85
17 17
1

Prime factors of 255 are 3, 5,17. Prime factorization of 255 in exponential form is:

255 = 31×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 255 and 258.

LCM(255,258) = 21×31×51×171×431
LCM(255,258) = 21930

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Factors of 258

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

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

Least Common Multiple of 255 and 258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 255 and 258, than apply into the LCM equation.

GCF(255,258) = 3
LCM(255,258) = ( 255 × 258) / 3
LCM(255,258) = 65790 / 3
LCM(255,258) = 21930

Properties of LCM 255 and 258

(i) The LCM of 258 and 255 is associative

LCM of 255 and 258 = LCM of 258 and 255

Related Least Common Multiples of 255

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 255 and 258

1. What is the LCM of 255 and 258?

Answer: LCM of 255 and 258 is 21930.

2. What are the Factors of 255?

Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.

3. 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.

4. How to Find the LCM of 255 and 258?

Answer:

Least Common Multiple of 255 and 258 = 21930

Step 1: Find the prime factorization of 255

255 = 3 x 5 x 17

Step 2: Find the prime factorization of 258

258 = 2 x 3 x 43

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

LCM = 21930 = 2 x 3 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 255 and 258 is 21930.