Least Common Multiple of 247 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 247 and 255 the smallest integer that is 62985 that is divisible by both numbers.

Least Common Multiple (LCM) of 247 and 255 is 62985.

LCM(247,255) = 62985

LCM of 247 and 255

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

LCM of:
and

Least Common Multiple of 247 and 255

LCM of 247 and 255 is 62985

Least common multiple can be found by multiplying the highest exponent prime factors of 247 and 255. First we will calculate the prime factors of 247 and 255.

Prime Factorization of 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

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 247 and 255.

LCM(247,255) = 31×51×131×171×191
LCM(247,255) = 62985

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1, 13, 19, 247

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 247 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 247 and 255, than apply into the LCM equation.

GCF(247,255) = 1
LCM(247,255) = ( 247 × 255) / 1
LCM(247,255) = 62985 / 1
LCM(247,255) = 62985

Properties of LCM 247 and 255

(i) The LCM of 255 and 247 is associative

LCM of 247 and 255 = LCM of 255 and 247

Related Least Common Multiples of 247

Related Least Common Multiples of 255

Frequently Asked Questions on LCM of 247 and 255

1. What is the LCM of 247 and 255?

Answer: LCM of 247 and 255 is 62985.

2. What are the Factors of 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

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 247 and 255?

Answer:

Least Common Multiple of 247 and 255 = 62985

Step 1: Find the prime factorization of 247

247 = 13 x 19

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 = 62985 = 3 x 5 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 247 and 255 is 62985.