Least Common Multiple of 369 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 369 and 371 the smallest integer that is 136899 that is divisible by both numbers.
Least Common Multiple (LCM) of 369 and 371 is 136899.
LCM(369,371) = 136899
LCM of 369 and 371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 369 and 371 by Prime method
- Least Common Multiple of 369 and 371 with GCF Formula
LCM of 369 and 371 is 136899
Least common multiple can be found by multiplying the highest exponent prime factors of 369 and 371. First we will calculate the prime factors of 369 and 371.
Prime Factorization of 369
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:
369 = 32×411
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 369 and 371.
LCM(369,371) = 32×71×411×531
LCM(369,371) = 136899
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Least Common Multiple of 369 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 369 and 371, than apply into the LCM equation.
GCF(369,371) = 1
LCM(369,371) = ( 369 × 371) / 1
LCM(369,371) = 136899 / 1
LCM(369,371) = 136899
Properties of LCM 369 and 371
(i) The LCM of 371 and 369 is associative
LCM of 369 and 371 = LCM of 371 and 369
Related Least Common Multiples of 369
Related Least Common Multiples of 371
Frequently Asked Questions on LCM of 369 and 371
1. What is the LCM of 369 and 371?
Answer: LCM of 369 and 371 is 136899.
2. What are the Factors of 369?
Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.
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 369 and 371?
Answer:
Least Common Multiple of 369 and 371 = 136899
Step 1: Find the prime factorization of 369
369 = 3 x 3 x 41
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 = 136899 = 3 x 3 x 7 x 41 x 53
Step 4: Therefore, the least common multiple of 369 and 371 is 136899.
