Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8379 and 8384 the smallest integer that is 70249536 that is divisible by both numbers.
Least Common Multiple (LCM) of 8379 and 8384 is 70249536.
LCM(8379,8384) = 70249536
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 8379 and 8384. First we will calculate the prime factors of 8379 and 8384.
Prime Factorization of 8379
3 | 8379 |
3 | 2793 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 8379 are 3, 7,19. Prime factorization of 8379 in exponential form is:
8379 = 32×72×191
Prime Factorization of 8384
2 | 8384 |
2 | 4192 |
2 | 2096 |
2 | 1048 |
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:
8384 = 26×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 8379 and 8384.
LCM(8379,8384) = 26×32×72×191×1311
LCM(8379,8384) = 70249536
Factors of 8379
List of positive integer factors of 8379 that divides 8379 without a remainder.
1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379
Factors of 8384
List of positive integer factors of 8384 that divides 8384 without a remainder.
1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8379 and 8384, than apply into the LCM equation.
GCF(8379,8384) = 1
LCM(8379,8384) = ( 8379 × 8384) / 1
LCM(8379,8384) = 70249536 / 1
LCM(8379,8384) = 70249536
(i) The LCM of 8384 and 8379 is associative
LCM of 8379 and 8384 = LCM of 8384 and 8379
1. What is the LCM of 8379 and 8384?
Answer: LCM of 8379 and 8384 is 70249536.
2. What are the Factors of 8379?
Answer: Factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379. There are 18 integers that are factors of 8379. The greatest factor of 8379 is 8379.
3. What are the Factors of 8384?
Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.
4. How to Find the LCM of 8379 and 8384?
Answer:
Least Common Multiple of 8379 and 8384 = 70249536
Step 1: Find the prime factorization of 8379
8379 = 3 x 3 x 7 x 7 x 19
Step 2: Find the prime factorization of 8384
8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70249536 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 19 x 131
Step 4: Therefore, the least common multiple of 8379 and 8384 is 70249536.