Least Common Multiple of 371 and 375
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 371 and 375 the smallest integer that is 139125 that is divisible by both numbers.
Least Common Multiple (LCM) of 371 and 375 is 139125.
LCM(371,375) = 139125
LCM of 371 and 375
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 371 and 375 by Prime method
- Least Common Multiple of 371 and 375 with GCF Formula
LCM of 371 and 375 is 139125
Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 375. First we will calculate the prime factors of 371 and 375.
Prime Factorization of 371
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 371 are 7,53. Prime factorization of 371 in exponential form is:
371 = 71×531
Prime Factorization of 375
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 375 are 3,5. Prime factorization of 375 in exponential form is:
375 = 31×53
Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 375.
LCM(371,375) = 31×53×71×531
LCM(371,375) = 139125
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Least Common Multiple of 371 and 375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 371 and 375, than apply into the LCM equation.
GCF(371,375) = 1
LCM(371,375) = ( 371 × 375) / 1
LCM(371,375) = 139125 / 1
LCM(371,375) = 139125
Properties of LCM 371 and 375
(i) The LCM of 375 and 371 is associative
LCM of 371 and 375 = LCM of 375 and 371
Related Least Common Multiples of 371
Related Least Common Multiples of 375
Frequently Asked Questions on LCM of 371 and 375
1. What is the LCM of 371 and 375?
Answer: LCM of 371 and 375 is 139125.
2. What are the Factors of 371?
Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.
3. What are the Factors of 375?
Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.
4. How to Find the LCM of 371 and 375?
Answer:
Least Common Multiple of 371 and 375 = 139125
Step 1: Find the prime factorization of 371
371 = 7 x 53
Step 2: Find the prime factorization of 375
375 = 3 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 139125 = 3 x 5 x 5 x 5 x 7 x 53
Step 4: Therefore, the least common multiple of 371 and 375 is 139125.
