Least Common Multiple of 258 and 261

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 261 the smallest integer that is 22446 that is divisible by both numbers.

Least Common Multiple (LCM) of 258 and 261 is 22446.

LCM(258,261) = 22446

LCM of 258 and 261

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

LCM of:
and

Least Common Multiple of 258 and 261

LCM of 258 and 261 is 22446

Least common multiple can be found by multiplying the highest exponent prime factors of 258 and 261. First we will calculate the prime factors of 258 and 261.

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 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 258 and 261.

LCM(258,261) = 21×32×291×431
LCM(258,261) = 22446

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 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Least Common Multiple of 258 and 261 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 261, than apply into the LCM equation.

GCF(258,261) = 3
LCM(258,261) = ( 258 × 261) / 3
LCM(258,261) = 67338 / 3
LCM(258,261) = 22446

Properties of LCM 258 and 261

(i) The LCM of 261 and 258 is associative

LCM of 258 and 261 = LCM of 261 and 258

Related Least Common Multiples of 258

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 258 and 261

1. What is the LCM of 258 and 261?

Answer: LCM of 258 and 261 is 22446.

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 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

4. How to Find the LCM of 258 and 261?

Answer:

Least Common Multiple of 258 and 261 = 22446

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 261

261 = 3 x 3 x 29

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

LCM = 22446 = 2 x 3 x 3 x 29 x 43

Step 4: Therefore, the least common multiple of 258 and 261 is 22446.