Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3800 and 3803 the smallest integer that is 14451400 that is divisible by both numbers.
Least Common Multiple (LCM) of 3800 and 3803 is 14451400.
LCM(3800,3803) = 14451400
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 3800 and 3803. First we will calculate the prime factors of 3800 and 3803.
Prime Factorization of 3800
2 | 3800 |
2 | 1900 |
2 | 950 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 3800 are 2, 5,19. Prime factorization of 3800 in exponential form is:
3800 = 23×52×191
Prime Factorization of 3803
3803 | 3803 |
1 |
Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:
3803 = 38031
Now multiplying the highest exponent prime factors to calculate the LCM of 3800 and 3803.
LCM(3800,3803) = 23×52×191×38031
LCM(3800,3803) = 14451400
Factors of 3800
List of positive integer factors of 3800 that divides 3800 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
Factors of 3803
List of positive integer factors of 3803 that divides 3803 without a remainder.
1, 3803
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3800 and 3803, than apply into the LCM equation.
GCF(3800,3803) = 1
LCM(3800,3803) = ( 3800 × 3803) / 1
LCM(3800,3803) = 14451400 / 1
LCM(3800,3803) = 14451400
(i) The LCM of 3803 and 3800 is associative
LCM of 3800 and 3803 = LCM of 3803 and 3800
1. What is the LCM of 3800 and 3803?
Answer: LCM of 3800 and 3803 is 14451400.
2. What are the Factors of 3800?
Answer: Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. There are 24 integers that are factors of 3800. The greatest factor of 3800 is 3800.
3. What are the Factors of 3803?
Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.
4. How to Find the LCM of 3800 and 3803?
Answer:
Least Common Multiple of 3800 and 3803 = 14451400
Step 1: Find the prime factorization of 3800
3800 = 2 x 2 x 2 x 5 x 5 x 19
Step 2: Find the prime factorization of 3803
3803 = 3803
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14451400 = 2 x 2 x 2 x 5 x 5 x 19 x 3803
Step 4: Therefore, the least common multiple of 3800 and 3803 is 14451400.