Least Common Multiple of 8248 and 8255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8248 and 8255 the smallest integer that is 68087240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8248 and 8255 is 68087240.

LCM(8248,8255) = 68087240

LCM of 8248 and 8255

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

LCM of:
and

Least Common Multiple of 8248 and 8255

LCM of 8248 and 8255 is 68087240

Least common multiple can be found by multiplying the highest exponent prime factors of 8248 and 8255. First we will calculate the prime factors of 8248 and 8255.

Prime Factorization of 8248


2 8248
2 4124
2 2062
1031 1031
1

Prime factors of 8248 are 2,1031. Prime factorization of 8248 in exponential form is:

8248 = 23×10311

Prime Factorization of 8255


5 8255
13 1651
127 127
1

Prime factors of 8255 are 5, 13,127. Prime factorization of 8255 in exponential form is:

8255 = 51×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8248 and 8255.

LCM(8248,8255) = 23×51×131×1271×10311
LCM(8248,8255) = 68087240

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1, 2, 4, 8, 1031, 2062, 4124, 8248

Factors of 8255

List of positive integer factors of 8255 that divides 8255 without a remainder.

1, 5, 13, 65, 127, 635, 1651, 8255

Least Common Multiple of 8248 and 8255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8248 and 8255, than apply into the LCM equation.

GCF(8248,8255) = 1
LCM(8248,8255) = ( 8248 × 8255) / 1
LCM(8248,8255) = 68087240 / 1
LCM(8248,8255) = 68087240

Properties of LCM 8248 and 8255

(i) The LCM of 8255 and 8248 is associative

LCM of 8248 and 8255 = LCM of 8255 and 8248

Related Least Common Multiples of 8248

Related Least Common Multiples of 8255

Frequently Asked Questions on LCM of 8248 and 8255

1. What is the LCM of 8248 and 8255?

Answer: LCM of 8248 and 8255 is 68087240.

2. What are the Factors of 8248?

Answer: Factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248. There are 8 integers that are factors of 8248. The greatest factor of 8248 is 8248.

3. What are the Factors of 8255?

Answer: Factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255. There are 8 integers that are factors of 8255. The greatest factor of 8255 is 8255.

4. How to Find the LCM of 8248 and 8255?

Answer:

Least Common Multiple of 8248 and 8255 = 68087240

Step 1: Find the prime factorization of 8248

8248 = 2 x 2 x 2 x 1031

Step 2: Find the prime factorization of 8255

8255 = 5 x 13 x 127

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

LCM = 68087240 = 2 x 2 x 2 x 5 x 13 x 127 x 1031

Step 4: Therefore, the least common multiple of 8248 and 8255 is 68087240.