Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3893 and 3900 the smallest integer that is 15182700 that is divisible by both numbers.
Least Common Multiple (LCM) of 3893 and 3900 is 15182700.
LCM(3893,3900) = 15182700
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 3893 and 3900. First we will calculate the prime factors of 3893 and 3900.
Prime Factorization of 3893
17 | 3893 |
229 | 229 |
1 |
Prime factors of 3893 are 17,229. Prime factorization of 3893 in exponential form is:
3893 = 171×2291
Prime Factorization of 3900
2 | 3900 |
2 | 1950 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 3900 are 2, 3, 5,13. Prime factorization of 3900 in exponential form is:
3900 = 22×31×52×131
Now multiplying the highest exponent prime factors to calculate the LCM of 3893 and 3900.
LCM(3893,3900) = 22×31×52×131×171×2291
LCM(3893,3900) = 15182700
Factors of 3893
List of positive integer factors of 3893 that divides 3893 without a remainder.
1, 17, 229, 3893
Factors of 3900
List of positive integer factors of 3900 that divides 3900 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3893 and 3900, than apply into the LCM equation.
GCF(3893,3900) = 1
LCM(3893,3900) = ( 3893 × 3900) / 1
LCM(3893,3900) = 15182700 / 1
LCM(3893,3900) = 15182700
(i) The LCM of 3900 and 3893 is associative
LCM of 3893 and 3900 = LCM of 3900 and 3893
1. What is the LCM of 3893 and 3900?
Answer: LCM of 3893 and 3900 is 15182700.
2. What are the Factors of 3893?
Answer: Factors of 3893 are 1, 17, 229, 3893. There are 4 integers that are factors of 3893. The greatest factor of 3893 is 3893.
3. What are the Factors of 3900?
Answer: Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. There are 36 integers that are factors of 3900. The greatest factor of 3900 is 3900.
4. How to Find the LCM of 3893 and 3900?
Answer:
Least Common Multiple of 3893 and 3900 = 15182700
Step 1: Find the prime factorization of 3893
3893 = 17 x 229
Step 2: Find the prime factorization of 3900
3900 = 2 x 2 x 3 x 5 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15182700 = 2 x 2 x 3 x 5 x 5 x 13 x 17 x 229
Step 4: Therefore, the least common multiple of 3893 and 3900 is 15182700.