Least Common Multiple of 253 and 255

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 255 the smallest integer that is 64515 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 255 is 64515.

LCM(253,255) = 64515

LCM of 253 and 255

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

LCM of:
and

Least Common Multiple of 253 and 255

LCM of 253 and 255 is 64515

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 255. First we will calculate the prime factors of 253 and 255.

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 255


3 255
5 85
17 17
1

Prime factors of 255 are 3, 5,17. Prime factorization of 255 in exponential form is:

255 = 31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 253 and 255.

LCM(253,255) = 31×51×111×171×231
LCM(253,255) = 64515

Factors of 253

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

1, 11, 23, 253

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Least Common Multiple of 253 and 255 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 255, than apply into the LCM equation.

GCF(253,255) = 1
LCM(253,255) = ( 253 × 255) / 1
LCM(253,255) = 64515 / 1
LCM(253,255) = 64515

Properties of LCM 253 and 255

(i) The LCM of 255 and 253 is associative

LCM of 253 and 255 = LCM of 255 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 255

Frequently Asked Questions on LCM of 253 and 255

1. What is the LCM of 253 and 255?

Answer: LCM of 253 and 255 is 64515.

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 255?

Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.

4. How to Find the LCM of 253 and 255?

Answer:

Least Common Multiple of 253 and 255 = 64515

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 255

255 = 3 x 5 x 17

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

LCM = 64515 = 3 x 5 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 253 and 255 is 64515.