Least Common Multiple of 248 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 248 and 255 the smallest integer that is 63240 that is divisible by both numbers.

Least Common Multiple (LCM) of 248 and 255 is 63240.

LCM(248,255) = 63240

LCM of 248 and 255

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

LCM of:
and

Least Common Multiple of 248 and 255

LCM of 248 and 255 is 63240

Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 255. First we will calculate the prime factors of 248 and 255.

Prime Factorization of 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

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 248 and 255.

LCM(248,255) = 23×31×51×171×311
LCM(248,255) = 63240

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 248 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 248 and 255, than apply into the LCM equation.

GCF(248,255) = 1
LCM(248,255) = ( 248 × 255) / 1
LCM(248,255) = 63240 / 1
LCM(248,255) = 63240

Properties of LCM 248 and 255

(i) The LCM of 255 and 248 is associative

LCM of 248 and 255 = LCM of 255 and 248

Related Least Common Multiples of 248

Related Least Common Multiples of 255

Frequently Asked Questions on LCM of 248 and 255

1. What is the LCM of 248 and 255?

Answer: LCM of 248 and 255 is 63240.

2. What are the Factors of 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

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 248 and 255?

Answer:

Least Common Multiple of 248 and 255 = 63240

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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 = 63240 = 2 x 2 x 2 x 3 x 5 x 17 x 31

Step 4: Therefore, the least common multiple of 248 and 255 is 63240.