Least Common Multiple of 8375 and 8383
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 8383 the smallest integer that is 70207625 that is divisible by both numbers.
Least Common Multiple (LCM) of 8375 and 8383 is 70207625.
LCM(8375,8383) = 70207625
LCM of 8375 and 8383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8375 and 8383 by Prime method
- Least Common Multiple of 8375 and 8383 with GCF Formula
LCM of 8375 and 8383 is 70207625
Least common multiple can be found by multiplying the highest exponent prime factors of 8375 and 8383. First we will calculate the prime factors of 8375 and 8383.
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 8383
| 83 | 8383 |
| 101 | 101 |
| 1 |
Prime factors of 8383 are 83,101. Prime factorization of 8383 in exponential form is:
8383 = 831×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 8375 and 8383.
LCM(8375,8383) = 53×671×831×1011
LCM(8375,8383) = 70207625
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 8383
List of positive integer factors of 8383 that divides 8383 without a remainder.
1, 83, 101, 8383
Least Common Multiple of 8375 and 8383 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 8383, than apply into the LCM equation.
GCF(8375,8383) = 1
LCM(8375,8383) = ( 8375 × 8383) / 1
LCM(8375,8383) = 70207625 / 1
LCM(8375,8383) = 70207625
Properties of LCM 8375 and 8383
(i) The LCM of 8383 and 8375 is associative
LCM of 8375 and 8383 = LCM of 8383 and 8375
Related Least Common Multiples of 8375
Related Least Common Multiples of 8383
Frequently Asked Questions on LCM of 8375 and 8383
1. What is the LCM of 8375 and 8383?
Answer: LCM of 8375 and 8383 is 70207625.
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 8383?
Answer: Factors of 8383 are 1, 83, 101, 8383. There are 4 integers that are factors of 8383. The greatest factor of 8383 is 8383.
4. How to Find the LCM of 8375 and 8383?
Answer:
Least Common Multiple of 8375 and 8383 = 70207625
Step 1: Find the prime factorization of 8375
8375 = 5 x 5 x 5 x 67
Step 2: Find the prime factorization of 8383
8383 = 83 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70207625 = 5 x 5 x 5 x 67 x 83 x 101
Step 4: Therefore, the least common multiple of 8375 and 8383 is 70207625.