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 3251 the smallest integer that is 10555997 that is divisible by both numbers.
Least Common Multiple (LCM) of 3247 and 3251 is 10555997.
LCM(3247,3251) = 10555997
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 3251. First we will calculate the prime factors of 3247 and 3251.
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 3251
3251 | 3251 |
1 |
Prime factors of 3251 are 3251. Prime factorization of 3251 in exponential form is:
3251 = 32511
Now multiplying the highest exponent prime factors to calculate the LCM of 3247 and 3251.
LCM(3247,3251) = 171×1911×32511
LCM(3247,3251) = 10555997
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1, 17, 191, 3247
Factors of 3251
List of positive integer factors of 3251 that divides 3251 without a remainder.
1, 3251
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3247 and 3251, than apply into the LCM equation.
GCF(3247,3251) = 1
LCM(3247,3251) = ( 3247 × 3251) / 1
LCM(3247,3251) = 10555997 / 1
LCM(3247,3251) = 10555997
(i) The LCM of 3251 and 3247 is associative
LCM of 3247 and 3251 = LCM of 3251 and 3247
1. What is the LCM of 3247 and 3251?
Answer: LCM of 3247 and 3251 is 10555997.
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 3251?
Answer: Factors of 3251 are 1, 3251. There are 2 integers that are factors of 3251. The greatest factor of 3251 is 3251.
4. How to Find the LCM of 3247 and 3251?
Answer:
Least Common Multiple of 3247 and 3251 = 10555997
Step 1: Find the prime factorization of 3247
3247 = 17 x 191
Step 2: Find the prime factorization of 3251
3251 = 3251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10555997 = 17 x 191 x 3251
Step 4: Therefore, the least common multiple of 3247 and 3251 is 10555997.