Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3251 and 3257 the smallest integer that is 10588507 that is divisible by both numbers.
Least Common Multiple (LCM) of 3251 and 3257 is 10588507.
LCM(3251,3257) = 10588507
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 3251 and 3257. First we will calculate the prime factors of 3251 and 3257.
Prime Factorization of 3251
3251 | 3251 |
1 |
Prime factors of 3251 are 3251. Prime factorization of 3251 in exponential form is:
3251 = 32511
Prime Factorization of 3257
3257 | 3257 |
1 |
Prime factors of 3257 are 3257. Prime factorization of 3257 in exponential form is:
3257 = 32571
Now multiplying the highest exponent prime factors to calculate the LCM of 3251 and 3257.
LCM(3251,3257) = 32511×32571
LCM(3251,3257) = 10588507
Factors of 3251
List of positive integer factors of 3251 that divides 3251 without a remainder.
1, 3251
Factors of 3257
List of positive integer factors of 3257 that divides 3257 without a remainder.
1, 3257
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3251 and 3257, than apply into the LCM equation.
GCF(3251,3257) = 1
LCM(3251,3257) = ( 3251 × 3257) / 1
LCM(3251,3257) = 10588507 / 1
LCM(3251,3257) = 10588507
(i) The LCM of 3257 and 3251 is associative
LCM of 3251 and 3257 = LCM of 3257 and 3251
1. What is the LCM of 3251 and 3257?
Answer: LCM of 3251 and 3257 is 10588507.
2. 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.
3. What are the Factors of 3257?
Answer: Factors of 3257 are 1, 3257. There are 2 integers that are factors of 3257. The greatest factor of 3257 is 3257.
4. How to Find the LCM of 3251 and 3257?
Answer:
Least Common Multiple of 3251 and 3257 = 10588507
Step 1: Find the prime factorization of 3251
3251 = 3251
Step 2: Find the prime factorization of 3257
3257 = 3257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10588507 = 3251 x 3257
Step 4: Therefore, the least common multiple of 3251 and 3257 is 10588507.