Least Common Multiple of 258 and 260

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 260 the smallest integer that is 33540 that is divisible by both numbers.

Least Common Multiple (LCM) of 258 and 260 is 33540.

LCM(258,260) = 33540

LCM of 258 and 260

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

LCM of:
and

Least Common Multiple of 258 and 260

LCM of 258 and 260 is 33540

Least common multiple can be found by multiplying the highest exponent prime factors of 258 and 260. First we will calculate the prime factors of 258 and 260.

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 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 258 and 260.

LCM(258,260) = 22×31×51×131×431
LCM(258,260) = 33540

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 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Least Common Multiple of 258 and 260 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 260, than apply into the LCM equation.

GCF(258,260) = 2
LCM(258,260) = ( 258 × 260) / 2
LCM(258,260) = 67080 / 2
LCM(258,260) = 33540

Properties of LCM 258 and 260

(i) The LCM of 260 and 258 is associative

LCM of 258 and 260 = LCM of 260 and 258

Related Least Common Multiples of 258

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 258 and 260

1. What is the LCM of 258 and 260?

Answer: LCM of 258 and 260 is 33540.

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 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

4. How to Find the LCM of 258 and 260?

Answer:

Least Common Multiple of 258 and 260 = 33540

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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

LCM = 33540 = 2 x 2 x 3 x 5 x 13 x 43

Step 4: Therefore, the least common multiple of 258 and 260 is 33540.