Least Common Multiple of 251 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 251 and 258 the smallest integer that is 64758 that is divisible by both numbers.

Least Common Multiple (LCM) of 251 and 258 is 64758.

LCM(251,258) = 64758

LCM of 251 and 258

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

LCM of:
and

Least Common Multiple of 251 and 258

LCM of 251 and 258 is 64758

Least common multiple can be found by multiplying the highest exponent prime factors of 251 and 258. First we will calculate the prime factors of 251 and 258.

Prime Factorization of 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

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 251 and 258.

LCM(251,258) = 21×31×431×2511
LCM(251,258) = 64758

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1, 251

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 251 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 251 and 258, than apply into the LCM equation.

GCF(251,258) = 1
LCM(251,258) = ( 251 × 258) / 1
LCM(251,258) = 64758 / 1
LCM(251,258) = 64758

Properties of LCM 251 and 258

(i) The LCM of 258 and 251 is associative

LCM of 251 and 258 = LCM of 258 and 251

Related Least Common Multiples of 251

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 251 and 258

1. What is the LCM of 251 and 258?

Answer: LCM of 251 and 258 is 64758.

2. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

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 251 and 258?

Answer:

Least Common Multiple of 251 and 258 = 64758

Step 1: Find the prime factorization of 251

251 = 251

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 = 64758 = 2 x 3 x 43 x 251

Step 4: Therefore, the least common multiple of 251 and 258 is 64758.