Least Common Multiple of 258 and 263

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 263 the smallest integer that is 67854 that is divisible by both numbers.

Least Common Multiple (LCM) of 258 and 263 is 67854.

LCM(258,263) = 67854

LCM of 258 and 263

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

LCM of:
and

Least Common Multiple of 258 and 263

LCM of 258 and 263 is 67854

Least common multiple can be found by multiplying the highest exponent prime factors of 258 and 263. First we will calculate the prime factors of 258 and 263.

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 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 258 and 263.

LCM(258,263) = 21×31×431×2631
LCM(258,263) = 67854

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 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

Least Common Multiple of 258 and 263 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 263, than apply into the LCM equation.

GCF(258,263) = 1
LCM(258,263) = ( 258 × 263) / 1
LCM(258,263) = 67854 / 1
LCM(258,263) = 67854

Properties of LCM 258 and 263

(i) The LCM of 263 and 258 is associative

LCM of 258 and 263 = LCM of 263 and 258

Related Least Common Multiples of 258

Related Least Common Multiples of 263

Frequently Asked Questions on LCM of 258 and 263

1. What is the LCM of 258 and 263?

Answer: LCM of 258 and 263 is 67854.

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 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

4. How to Find the LCM of 258 and 263?

Answer:

Least Common Multiple of 258 and 263 = 67854

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 263

263 = 263

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

LCM = 67854 = 2 x 3 x 43 x 263

Step 4: Therefore, the least common multiple of 258 and 263 is 67854.