Least Common Multiple of 8372 and 8379
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8372 and 8379 the smallest integer that is 10021284 that is divisible by both numbers.
Least Common Multiple (LCM) of 8372 and 8379 is 10021284.
LCM(8372,8379) = 10021284
LCM of 8372 and 8379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8372 and 8379 by Prime method
- Least Common Multiple of 8372 and 8379 with GCF Formula
LCM of 8372 and 8379 is 10021284
Least common multiple can be found by multiplying the highest exponent prime factors of 8372 and 8379. First we will calculate the prime factors of 8372 and 8379.
Prime Factorization of 8372
| 2 | 8372 |
| 2 | 4186 |
| 7 | 2093 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 8372 are 2, 7, 13,23. Prime factorization of 8372 in exponential form is:
8372 = 22×71×131×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8372 and 8379.
LCM(8372,8379) = 22×32×72×131×191×231
LCM(8372,8379) = 10021284
Factors of 8372
List of positive integer factors of 8372 that divides 8372 without a remainder.
1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372
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
Least Common Multiple of 8372 and 8379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8372 and 8379, than apply into the LCM equation.
GCF(8372,8379) = 7
LCM(8372,8379) = ( 8372 × 8379) / 7
LCM(8372,8379) = 70148988 / 7
LCM(8372,8379) = 10021284
Properties of LCM 8372 and 8379
(i) The LCM of 8379 and 8372 is associative
LCM of 8372 and 8379 = LCM of 8379 and 8372
Related Least Common Multiples of 8372
Related Least Common Multiples of 8379
Frequently Asked Questions on LCM of 8372 and 8379
1. What is the LCM of 8372 and 8379?
Answer: LCM of 8372 and 8379 is 10021284.
2. What are the Factors of 8372?
Answer: Factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372. There are 24 integers that are factors of 8372. The greatest factor of 8372 is 8372.
3. 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.
4. How to Find the LCM of 8372 and 8379?
Answer:
Least Common Multiple of 8372 and 8379 = 10021284
Step 1: Find the prime factorization of 8372
8372 = 2 x 2 x 7 x 13 x 23
Step 2: Find the prime factorization of 8379
8379 = 3 x 3 x 7 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10021284 = 2 x 2 x 3 x 3 x 7 x 7 x 13 x 19 x 23
Step 4: Therefore, the least common multiple of 8372 and 8379 is 10021284.