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 3807 the smallest integer that is 14466600 that is divisible by both numbers.
Least Common Multiple (LCM) of 3800 and 3807 is 14466600.
LCM(3800,3807) = 14466600
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 3807. First we will calculate the prime factors of 3800 and 3807.
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 3807
3 | 3807 |
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 3807 are 3,47. Prime factorization of 3807 in exponential form is:
3807 = 34×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3800 and 3807.
LCM(3800,3807) = 23×34×52×191×471
LCM(3800,3807) = 14466600
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 3807
List of positive integer factors of 3807 that divides 3807 without a remainder.
1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3800 and 3807, than apply into the LCM equation.
GCF(3800,3807) = 1
LCM(3800,3807) = ( 3800 × 3807) / 1
LCM(3800,3807) = 14466600 / 1
LCM(3800,3807) = 14466600
(i) The LCM of 3807 and 3800 is associative
LCM of 3800 and 3807 = LCM of 3807 and 3800
1. What is the LCM of 3800 and 3807?
Answer: LCM of 3800 and 3807 is 14466600.
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 3807?
Answer: Factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807. There are 10 integers that are factors of 3807. The greatest factor of 3807 is 3807.
4. How to Find the LCM of 3800 and 3807?
Answer:
Least Common Multiple of 3800 and 3807 = 14466600
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 3807
3807 = 3 x 3 x 3 x 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14466600 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 19 x 47
Step 4: Therefore, the least common multiple of 3800 and 3807 is 14466600.