Least Common Multiple of 8375 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 8375 and 8379 the smallest integer that is 70174125 that is divisible by both numbers.
Least Common Multiple (LCM) of 8375 and 8379 is 70174125.
LCM(8375,8379) = 70174125
LCM of 8375 and 8379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8375 and 8379 by Prime method
- Least Common Multiple of 8375 and 8379 with GCF Formula
LCM of 8375 and 8379 is 70174125
Least common multiple can be found by multiplying the highest exponent prime factors of 8375 and 8379. First we will calculate the prime factors of 8375 and 8379.
Prime Factorization of 8375
| 5 | 8375 |
| 5 | 1675 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 8375 are 5,67. Prime factorization of 8375 in exponential form is:
8375 = 53×671
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 8375 and 8379.
LCM(8375,8379) = 32×53×72×191×671
LCM(8375,8379) = 70174125
Factors of 8375
List of positive integer factors of 8375 that divides 8375 without a remainder.
1, 5, 25, 67, 125, 335, 1675, 8375
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 8375 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 8375 and 8379, than apply into the LCM equation.
GCF(8375,8379) = 1
LCM(8375,8379) = ( 8375 × 8379) / 1
LCM(8375,8379) = 70174125 / 1
LCM(8375,8379) = 70174125
Properties of LCM 8375 and 8379
(i) The LCM of 8379 and 8375 is associative
LCM of 8375 and 8379 = LCM of 8379 and 8375
Related Least Common Multiples of 8375
Related Least Common Multiples of 8379
Frequently Asked Questions on LCM of 8375 and 8379
1. What is the LCM of 8375 and 8379?
Answer: LCM of 8375 and 8379 is 70174125.
2. What are the Factors of 8375?
Answer: Factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375. There are 8 integers that are factors of 8375. The greatest factor of 8375 is 8375.
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 8375 and 8379?
Answer:
Least Common Multiple of 8375 and 8379 = 70174125
Step 1: Find the prime factorization of 8375
8375 = 5 x 5 x 5 x 67
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 = 70174125 = 3 x 3 x 5 x 5 x 5 x 7 x 7 x 19 x 67
Step 4: Therefore, the least common multiple of 8375 and 8379 is 70174125.