Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3247 and 3255 the smallest integer that is 10568985 that is divisible by both numbers.
Least Common Multiple (LCM) of 3247 and 3255 is 10568985.
LCM(3247,3255) = 10568985
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 3247 and 3255. First we will calculate the prime factors of 3247 and 3255.
Prime Factorization of 3247
17 | 3247 |
191 | 191 |
1 |
Prime factors of 3247 are 17,191. Prime factorization of 3247 in exponential form is:
3247 = 171×1911
Prime Factorization of 3255
3 | 3255 |
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 3255 are 3, 5, 7,31. Prime factorization of 3255 in exponential form is:
3255 = 31×51×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3247 and 3255.
LCM(3247,3255) = 31×51×71×171×311×1911
LCM(3247,3255) = 10568985
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1, 17, 191, 3247
Factors of 3255
List of positive integer factors of 3255 that divides 3255 without a remainder.
1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3247 and 3255, than apply into the LCM equation.
GCF(3247,3255) = 1
LCM(3247,3255) = ( 3247 × 3255) / 1
LCM(3247,3255) = 10568985 / 1
LCM(3247,3255) = 10568985
(i) The LCM of 3255 and 3247 is associative
LCM of 3247 and 3255 = LCM of 3255 and 3247
1. What is the LCM of 3247 and 3255?
Answer: LCM of 3247 and 3255 is 10568985.
2. What are the Factors of 3247?
Answer: Factors of 3247 are 1, 17, 191, 3247. There are 4 integers that are factors of 3247. The greatest factor of 3247 is 3247.
3. What are the Factors of 3255?
Answer: Factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255. There are 16 integers that are factors of 3255. The greatest factor of 3255 is 3255.
4. How to Find the LCM of 3247 and 3255?
Answer:
Least Common Multiple of 3247 and 3255 = 10568985
Step 1: Find the prime factorization of 3247
3247 = 17 x 191
Step 2: Find the prime factorization of 3255
3255 = 3 x 5 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10568985 = 3 x 5 x 7 x 17 x 31 x 191
Step 4: Therefore, the least common multiple of 3247 and 3255 is 10568985.