Least Common Multiple of 250 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 250 and 258 the smallest integer that is 32250 that is divisible by both numbers.

Least Common Multiple (LCM) of 250 and 258 is 32250.

LCM(250,258) = 32250

LCM of 250 and 258

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

LCM of:
and

Least Common Multiple of 250 and 258

LCM of 250 and 258 is 32250

Least common multiple can be found by multiplying the highest exponent prime factors of 250 and 258. First we will calculate the prime factors of 250 and 258.

Prime Factorization of 250


2 250
5 125
5 25
5 5
1

Prime factors of 250 are 2,5. Prime factorization of 250 in exponential form is:

250 = 21×53

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 250 and 258.

LCM(250,258) = 21×31×53×431
LCM(250,258) = 32250

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 250 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 250 and 258, than apply into the LCM equation.

GCF(250,258) = 2
LCM(250,258) = ( 250 × 258) / 2
LCM(250,258) = 64500 / 2
LCM(250,258) = 32250

Properties of LCM 250 and 258

(i) The LCM of 258 and 250 is associative

LCM of 250 and 258 = LCM of 258 and 250

Related Least Common Multiples of 250

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 250 and 258

1. What is the LCM of 250 and 258?

Answer: LCM of 250 and 258 is 32250.

2. What are the Factors of 250?

Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.

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 250 and 258?

Answer:

Least Common Multiple of 250 and 258 = 32250

Step 1: Find the prime factorization of 250

250 = 2 x 5 x 5 x 5

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 = 32250 = 2 x 3 x 5 x 5 x 5 x 43

Step 4: Therefore, the least common multiple of 250 and 258 is 32250.