Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7819 and 7824 the smallest integer that is 61175856 that is divisible by both numbers.
Least Common Multiple (LCM) of 7819 and 7824 is 61175856.
LCM(7819,7824) = 61175856
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 7819 and 7824. First we will calculate the prime factors of 7819 and 7824.
Prime Factorization of 7819
7 | 7819 |
1117 | 1117 |
1 |
Prime factors of 7819 are 7,1117. Prime factorization of 7819 in exponential form is:
7819 = 71×11171
Prime Factorization of 7824
2 | 7824 |
2 | 3912 |
2 | 1956 |
2 | 978 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 7824 are 2, 3,163. Prime factorization of 7824 in exponential form is:
7824 = 24×31×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7819 and 7824.
LCM(7819,7824) = 24×31×71×1631×11171
LCM(7819,7824) = 61175856
Factors of 7819
List of positive integer factors of 7819 that divides 7819 without a remainder.
1, 7, 1117, 7819
Factors of 7824
List of positive integer factors of 7824 that divides 7824 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7819 and 7824, than apply into the LCM equation.
GCF(7819,7824) = 1
LCM(7819,7824) = ( 7819 × 7824) / 1
LCM(7819,7824) = 61175856 / 1
LCM(7819,7824) = 61175856
(i) The LCM of 7824 and 7819 is associative
LCM of 7819 and 7824 = LCM of 7824 and 7819
1. What is the LCM of 7819 and 7824?
Answer: LCM of 7819 and 7824 is 61175856.
2. What are the Factors of 7819?
Answer: Factors of 7819 are 1, 7, 1117, 7819. There are 4 integers that are factors of 7819. The greatest factor of 7819 is 7819.
3. What are the Factors of 7824?
Answer: Factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824. There are 20 integers that are factors of 7824. The greatest factor of 7824 is 7824.
4. How to Find the LCM of 7819 and 7824?
Answer:
Least Common Multiple of 7819 and 7824 = 61175856
Step 1: Find the prime factorization of 7819
7819 = 7 x 1117
Step 2: Find the prime factorization of 7824
7824 = 2 x 2 x 2 x 2 x 3 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61175856 = 2 x 2 x 2 x 2 x 3 x 7 x 163 x 1117
Step 4: Therefore, the least common multiple of 7819 and 7824 is 61175856.