Least Common Multiple of 3250 and 3254
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3250 and 3254 the smallest integer that is 5287750 that is divisible by both numbers.
Least Common Multiple (LCM) of 3250 and 3254 is 5287750.
LCM(3250,3254) = 5287750
LCM of 3250 and 3254
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3250 and 3254 by Prime method
- Least Common Multiple of 3250 and 3254 with GCF Formula
LCM of 3250 and 3254 is 5287750
Least common multiple can be found by multiplying the highest exponent prime factors of 3250 and 3254. First we will calculate the prime factors of 3250 and 3254.
Prime Factorization of 3250
| 2 | 3250 |
| 5 | 1625 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 3250 are 2, 5,13. Prime factorization of 3250 in exponential form is:
3250 = 21×53×131
Prime Factorization of 3254
| 2 | 3254 |
| 1627 | 1627 |
| 1 |
Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:
3254 = 21×16271
Now multiplying the highest exponent prime factors to calculate the LCM of 3250 and 3254.
LCM(3250,3254) = 21×53×131×16271
LCM(3250,3254) = 5287750
Factors of 3250
List of positive integer factors of 3250 that divides 3250 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250
Factors of 3254
List of positive integer factors of 3254 that divides 3254 without a remainder.
1, 2, 1627, 3254
Least Common Multiple of 3250 and 3254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3250 and 3254, than apply into the LCM equation.
GCF(3250,3254) = 2
LCM(3250,3254) = ( 3250 × 3254) / 2
LCM(3250,3254) = 10575500 / 2
LCM(3250,3254) = 5287750
Properties of LCM 3250 and 3254
(i) The LCM of 3254 and 3250 is associative
LCM of 3250 and 3254 = LCM of 3254 and 3250
Related Least Common Multiples of 3250
Related Least Common Multiples of 3254
Frequently Asked Questions on LCM of 3250 and 3254
1. What is the LCM of 3250 and 3254?
Answer: LCM of 3250 and 3254 is 5287750.
2. What are the Factors of 3250?
Answer: Factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250. There are 16 integers that are factors of 3250. The greatest factor of 3250 is 3250.
3. What are the Factors of 3254?
Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.
4. How to Find the LCM of 3250 and 3254?
Answer:
Least Common Multiple of 3250 and 3254 = 5287750
Step 1: Find the prime factorization of 3250
3250 = 2 x 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 3254
3254 = 2 x 1627
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5287750 = 2 x 5 x 5 x 5 x 13 x 1627
Step 4: Therefore, the least common multiple of 3250 and 3254 is 5287750.