Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3295 and 3300 the smallest integer that is 2174700 that is divisible by both numbers.
Least Common Multiple (LCM) of 3295 and 3300 is 2174700.
LCM(3295,3300) = 2174700
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 3295 and 3300. First we will calculate the prime factors of 3295 and 3300.
Prime Factorization of 3295
5 | 3295 |
659 | 659 |
1 |
Prime factors of 3295 are 5,659. Prime factorization of 3295 in exponential form is:
3295 = 51×6591
Prime Factorization of 3300
2 | 3300 |
2 | 1650 |
3 | 825 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 3300 are 2, 3, 5,11. Prime factorization of 3300 in exponential form is:
3300 = 22×31×52×111
Now multiplying the highest exponent prime factors to calculate the LCM of 3295 and 3300.
LCM(3295,3300) = 22×31×52×111×6591
LCM(3295,3300) = 2174700
Factors of 3295
List of positive integer factors of 3295 that divides 3295 without a remainder.
1, 5, 659, 3295
Factors of 3300
List of positive integer factors of 3300 that divides 3300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3295 and 3300, than apply into the LCM equation.
GCF(3295,3300) = 5
LCM(3295,3300) = ( 3295 × 3300) / 5
LCM(3295,3300) = 10873500 / 5
LCM(3295,3300) = 2174700
(i) The LCM of 3300 and 3295 is associative
LCM of 3295 and 3300 = LCM of 3300 and 3295
1. What is the LCM of 3295 and 3300?
Answer: LCM of 3295 and 3300 is 2174700.
2. What are the Factors of 3295?
Answer: Factors of 3295 are 1, 5, 659, 3295. There are 4 integers that are factors of 3295. The greatest factor of 3295 is 3295.
3. What are the Factors of 3300?
Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.
4. How to Find the LCM of 3295 and 3300?
Answer:
Least Common Multiple of 3295 and 3300 = 2174700
Step 1: Find the prime factorization of 3295
3295 = 5 x 659
Step 2: Find the prime factorization of 3300
3300 = 2 x 2 x 3 x 5 x 5 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2174700 = 2 x 2 x 3 x 5 x 5 x 11 x 659
Step 4: Therefore, the least common multiple of 3295 and 3300 is 2174700.