Least Common Multiple of 253 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 253 and 258 the smallest integer that is 65274 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 258 is 65274.

LCM(253,258) = 65274

LCM of 253 and 258

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

LCM of:
and

Least Common Multiple of 253 and 258

LCM of 253 and 258 is 65274

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 258. First we will calculate the prime factors of 253 and 258.

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

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 253 and 258.

LCM(253,258) = 21×31×111×231×431
LCM(253,258) = 65274

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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 253 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 253 and 258, than apply into the LCM equation.

GCF(253,258) = 1
LCM(253,258) = ( 253 × 258) / 1
LCM(253,258) = 65274 / 1
LCM(253,258) = 65274

Properties of LCM 253 and 258

(i) The LCM of 258 and 253 is associative

LCM of 253 and 258 = LCM of 258 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 253 and 258

1. What is the LCM of 253 and 258?

Answer: LCM of 253 and 258 is 65274.

2. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

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 253 and 258?

Answer:

Least Common Multiple of 253 and 258 = 65274

Step 1: Find the prime factorization of 253

253 = 11 x 23

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 = 65274 = 2 x 3 x 11 x 23 x 43

Step 4: Therefore, the least common multiple of 253 and 258 is 65274.