Least Common Multiple of 8379 and 8386
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 8386 the smallest integer that is 10038042 that is divisible by both numbers.
Least Common Multiple (LCM) of 8379 and 8386 is 10038042.
LCM(8379,8386) = 10038042
LCM of 8379 and 8386
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8379 and 8386 by Prime method
- Least Common Multiple of 8379 and 8386 with GCF Formula
LCM of 8379 and 8386 is 10038042
Least common multiple can be found by multiplying the highest exponent prime factors of 8379 and 8386. First we will calculate the prime factors of 8379 and 8386.
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 8386
| 2 | 8386 |
| 7 | 4193 |
| 599 | 599 |
| 1 |
Prime factors of 8386 are 2, 7,599. Prime factorization of 8386 in exponential form is:
8386 = 21×71×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 8379 and 8386.
LCM(8379,8386) = 21×32×72×191×5991
LCM(8379,8386) = 10038042
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 8386
List of positive integer factors of 8386 that divides 8386 without a remainder.
1, 2, 7, 14, 599, 1198, 4193, 8386
Least Common Multiple of 8379 and 8386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8379 and 8386, than apply into the LCM equation.
GCF(8379,8386) = 7
LCM(8379,8386) = ( 8379 × 8386) / 7
LCM(8379,8386) = 70266294 / 7
LCM(8379,8386) = 10038042
Properties of LCM 8379 and 8386
(i) The LCM of 8386 and 8379 is associative
LCM of 8379 and 8386 = LCM of 8386 and 8379
Related Least Common Multiples of 8379
Related Least Common Multiples of 8386
Frequently Asked Questions on LCM of 8379 and 8386
1. What is the LCM of 8379 and 8386?
Answer: LCM of 8379 and 8386 is 10038042.
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 8386?
Answer: Factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386. There are 8 integers that are factors of 8386. The greatest factor of 8386 is 8386.
4. How to Find the LCM of 8379 and 8386?
Answer:
Least Common Multiple of 8379 and 8386 = 10038042
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 8386
8386 = 2 x 7 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10038042 = 2 x 3 x 3 x 7 x 7 x 19 x 599
Step 4: Therefore, the least common multiple of 8379 and 8386 is 10038042.