Least Common Multiple of 253 and 257

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 257 the smallest integer that is 65021 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 257 is 65021.

LCM(253,257) = 65021

LCM of 253 and 257

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

LCM of:
and

Least Common Multiple of 253 and 257

LCM of 253 and 257 is 65021

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 257. First we will calculate the prime factors of 253 and 257.

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 257


257 257
1

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

257 = 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 253 and 257.

LCM(253,257) = 111×231×2571
LCM(253,257) = 65021

Factors of 253

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

1, 11, 23, 253

Factors of 257

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

1, 257

Least Common Multiple of 253 and 257 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 257, than apply into the LCM equation.

GCF(253,257) = 1
LCM(253,257) = ( 253 × 257) / 1
LCM(253,257) = 65021 / 1
LCM(253,257) = 65021

Properties of LCM 253 and 257

(i) The LCM of 257 and 253 is associative

LCM of 253 and 257 = LCM of 257 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 257

Frequently Asked Questions on LCM of 253 and 257

1. What is the LCM of 253 and 257?

Answer: LCM of 253 and 257 is 65021.

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 257?

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

4. How to Find the LCM of 253 and 257?

Answer:

Least Common Multiple of 253 and 257 = 65021

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 257

257 = 257

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

LCM = 65021 = 11 x 23 x 257

Step 4: Therefore, the least common multiple of 253 and 257 is 65021.