Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8247 and 8255 the smallest integer that is 68078985 that is divisible by both numbers.
Least Common Multiple (LCM) of 8247 and 8255 is 68078985.
LCM(8247,8255) = 68078985
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8247 and 8255. First we will calculate the prime factors of 8247 and 8255.
Prime Factorization of 8247
3 | 8247 |
2749 | 2749 |
1 |
Prime factors of 8247 are 3,2749. Prime factorization of 8247 in exponential form is:
8247 = 31×27491
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 8247 and 8255.
LCM(8247,8255) = 31×51×131×1271×27491
LCM(8247,8255) = 68078985
Factors of 8247
List of positive integer factors of 8247 that divides 8247 without a remainder.
1, 3, 2749, 8247
Factors of 8255
List of positive integer factors of 8255 that divides 8255 without a remainder.
1, 5, 13, 65, 127, 635, 1651, 8255
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8247 and 8255, than apply into the LCM equation.
GCF(8247,8255) = 1
LCM(8247,8255) = ( 8247 × 8255) / 1
LCM(8247,8255) = 68078985 / 1
LCM(8247,8255) = 68078985
(i) The LCM of 8255 and 8247 is associative
LCM of 8247 and 8255 = LCM of 8255 and 8247
1. What is the LCM of 8247 and 8255?
Answer: LCM of 8247 and 8255 is 68078985.
2. What are the Factors of 8247?
Answer: Factors of 8247 are 1, 3, 2749, 8247. There are 4 integers that are factors of 8247. The greatest factor of 8247 is 8247.
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 8247 and 8255?
Answer:
Least Common Multiple of 8247 and 8255 = 68078985
Step 1: Find the prime factorization of 8247
8247 = 3 x 2749
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 = 68078985 = 3 x 5 x 13 x 127 x 2749
Step 4: Therefore, the least common multiple of 8247 and 8255 is 68078985.