Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3815 and 3816 the smallest integer that is 14558040 that is divisible by both numbers.
Least Common Multiple (LCM) of 3815 and 3816 is 14558040.
LCM(3815,3816) = 14558040
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 3815 and 3816. First we will calculate the prime factors of 3815 and 3816.
Prime Factorization of 3815
5 | 3815 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 3815 are 5, 7,109. Prime factorization of 3815 in exponential form is:
3815 = 51×71×1091
Prime Factorization of 3816
2 | 3816 |
2 | 1908 |
2 | 954 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 3816 are 2, 3,53. Prime factorization of 3816 in exponential form is:
3816 = 23×32×531
Now multiplying the highest exponent prime factors to calculate the LCM of 3815 and 3816.
LCM(3815,3816) = 23×32×51×71×531×1091
LCM(3815,3816) = 14558040
Factors of 3815
List of positive integer factors of 3815 that divides 3815 without a remainder.
1, 5, 7, 35, 109, 545, 763, 3815
Factors of 3816
List of positive integer factors of 3816 that divides 3816 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3815 and 3816, than apply into the LCM equation.
GCF(3815,3816) = 1
LCM(3815,3816) = ( 3815 × 3816) / 1
LCM(3815,3816) = 14558040 / 1
LCM(3815,3816) = 14558040
(i) The LCM of 3816 and 3815 is associative
LCM of 3815 and 3816 = LCM of 3816 and 3815
1. What is the LCM of 3815 and 3816?
Answer: LCM of 3815 and 3816 is 14558040.
2. What are the Factors of 3815?
Answer: Factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815. There are 8 integers that are factors of 3815. The greatest factor of 3815 is 3815.
3. What are the Factors of 3816?
Answer: Factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816. There are 24 integers that are factors of 3816. The greatest factor of 3816 is 3816.
4. How to Find the LCM of 3815 and 3816?
Answer:
Least Common Multiple of 3815 and 3816 = 14558040
Step 1: Find the prime factorization of 3815
3815 = 5 x 7 x 109
Step 2: Find the prime factorization of 3816
3816 = 2 x 2 x 2 x 3 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14558040 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 53 x 109
Step 4: Therefore, the least common multiple of 3815 and 3816 is 14558040.