Least Common Multiple of 8371 and 8375
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8371 and 8375 the smallest integer that is 70107125 that is divisible by both numbers.
Least Common Multiple (LCM) of 8371 and 8375 is 70107125.
LCM(8371,8375) = 70107125
LCM of 8371 and 8375
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8371 and 8375 by Prime method
- Least Common Multiple of 8371 and 8375 with GCF Formula
LCM of 8371 and 8375 is 70107125
Least common multiple can be found by multiplying the highest exponent prime factors of 8371 and 8375. First we will calculate the prime factors of 8371 and 8375.
Prime Factorization of 8371
| 11 | 8371 |
| 761 | 761 |
| 1 |
Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:
8371 = 111×7611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8371 and 8375.
LCM(8371,8375) = 53×111×671×7611
LCM(8371,8375) = 70107125
Factors of 8371
List of positive integer factors of 8371 that divides 8371 without a remainder.
1, 11, 761, 8371
Factors of 8375
List of positive integer factors of 8375 that divides 8375 without a remainder.
1, 5, 25, 67, 125, 335, 1675, 8375
Least Common Multiple of 8371 and 8375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8371 and 8375, than apply into the LCM equation.
GCF(8371,8375) = 1
LCM(8371,8375) = ( 8371 × 8375) / 1
LCM(8371,8375) = 70107125 / 1
LCM(8371,8375) = 70107125
Properties of LCM 8371 and 8375
(i) The LCM of 8375 and 8371 is associative
LCM of 8371 and 8375 = LCM of 8375 and 8371
Related Least Common Multiples of 8371
Related Least Common Multiples of 8375
Frequently Asked Questions on LCM of 8371 and 8375
1. What is the LCM of 8371 and 8375?
Answer: LCM of 8371 and 8375 is 70107125.
2. What are the Factors of 8371?
Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.
3. 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.
4. How to Find the LCM of 8371 and 8375?
Answer:
Least Common Multiple of 8371 and 8375 = 70107125
Step 1: Find the prime factorization of 8371
8371 = 11 x 761
Step 2: Find the prime factorization of 8375
8375 = 5 x 5 x 5 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70107125 = 5 x 5 x 5 x 11 x 67 x 761
Step 4: Therefore, the least common multiple of 8371 and 8375 is 70107125.