Least Common Multiple of 257 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 257 and 258 the smallest integer that is 66306 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 258 is 66306.

LCM(257,258) = 66306

LCM of 257 and 258

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

LCM of:
and

Least Common Multiple of 257 and 258

LCM of 257 and 258 is 66306

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 258. First we will calculate the prime factors of 257 and 258.

Prime Factorization of 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

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 257 and 258.

LCM(257,258) = 21×31×431×2571
LCM(257,258) = 66306

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

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 257 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 257 and 258, than apply into the LCM equation.

GCF(257,258) = 1
LCM(257,258) = ( 257 × 258) / 1
LCM(257,258) = 66306 / 1
LCM(257,258) = 66306

Properties of LCM 257 and 258

(i) The LCM of 258 and 257 is associative

LCM of 257 and 258 = LCM of 258 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 257 and 258

1. What is the LCM of 257 and 258?

Answer: LCM of 257 and 258 is 66306.

2. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

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 257 and 258?

Answer:

Least Common Multiple of 257 and 258 = 66306

Step 1: Find the prime factorization of 257

257 = 257

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 = 66306 = 2 x 3 x 43 x 257

Step 4: Therefore, the least common multiple of 257 and 258 is 66306.