Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1807 and 1815 the smallest integer that is 3279705 that is divisible by both numbers.
Least Common Multiple (LCM) of 1807 and 1815 is 3279705.
LCM(1807,1815) = 3279705
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 1807 and 1815. First we will calculate the prime factors of 1807 and 1815.
Prime Factorization of 1807
13 | 1807 |
139 | 139 |
1 |
Prime factors of 1807 are 13,139. Prime factorization of 1807 in exponential form is:
1807 = 131×1391
Prime Factorization of 1815
3 | 1815 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 1815 are 3, 5,11. Prime factorization of 1815 in exponential form is:
1815 = 31×51×112
Now multiplying the highest exponent prime factors to calculate the LCM of 1807 and 1815.
LCM(1807,1815) = 31×51×112×131×1391
LCM(1807,1815) = 3279705
Factors of 1807
List of positive integer factors of 1807 that divides 1807 without a remainder.
1, 13, 139, 1807
Factors of 1815
List of positive integer factors of 1815 that divides 1815 without a remainder.
1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1807 and 1815, than apply into the LCM equation.
GCF(1807,1815) = 1
LCM(1807,1815) = ( 1807 × 1815) / 1
LCM(1807,1815) = 3279705 / 1
LCM(1807,1815) = 3279705
(i) The LCM of 1815 and 1807 is associative
LCM of 1807 and 1815 = LCM of 1815 and 1807
1. What is the LCM of 1807 and 1815?
Answer: LCM of 1807 and 1815 is 3279705.
2. What are the Factors of 1807?
Answer: Factors of 1807 are 1, 13, 139, 1807. There are 4 integers that are factors of 1807. The greatest factor of 1807 is 1807.
3. What are the Factors of 1815?
Answer: Factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815. There are 12 integers that are factors of 1815. The greatest factor of 1815 is 1815.
4. How to Find the LCM of 1807 and 1815?
Answer:
Least Common Multiple of 1807 and 1815 = 3279705
Step 1: Find the prime factorization of 1807
1807 = 13 x 139
Step 2: Find the prime factorization of 1815
1815 = 3 x 5 x 11 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 = 3279705 = 3 x 5 x 11 x 11 x 13 x 139
Step 4: Therefore, the least common multiple of 1807 and 1815 is 3279705.