Least Common Multiple of 365 and 371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 365 and 371 the smallest integer that is 135415 that is divisible by both numbers.
Least Common Multiple (LCM) of 365 and 371 is 135415.
LCM(365,371) = 135415
LCM of 365 and 371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 365 and 371 by Prime method
- Least Common Multiple of 365 and 371 with GCF Formula
LCM of 365 and 371 is 135415
Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 371. First we will calculate the prime factors of 365 and 371.
Prime Factorization of 365
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 365 are 5,73. Prime factorization of 365 in exponential form is:
365 = 51×731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 371.
LCM(365,371) = 51×71×531×731
LCM(365,371) = 135415
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Least Common Multiple of 365 and 371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 371, than apply into the LCM equation.
GCF(365,371) = 1
LCM(365,371) = ( 365 × 371) / 1
LCM(365,371) = 135415 / 1
LCM(365,371) = 135415
Properties of LCM 365 and 371
(i) The LCM of 371 and 365 is associative
LCM of 365 and 371 = LCM of 371 and 365
Related Least Common Multiples of 365
Related Least Common Multiples of 371
Frequently Asked Questions on LCM of 365 and 371
1. What is the LCM of 365 and 371?
Answer: LCM of 365 and 371 is 135415.
2. What are the Factors of 365?
Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.
3. 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.
4. How to Find the LCM of 365 and 371?
Answer:
Least Common Multiple of 365 and 371 = 135415
Step 1: Find the prime factorization of 365
365 = 5 x 73
Step 2: Find the prime factorization of 371
371 = 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 135415 = 5 x 7 x 53 x 73
Step 4: Therefore, the least common multiple of 365 and 371 is 135415.
