Least Common Multiple of 367 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 367 and 371 the smallest integer that is 136157 that is divisible by both numbers.
Least Common Multiple (LCM) of 367 and 371 is 136157.
LCM(367,371) = 136157
LCM of 367 and 371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 367 and 371 by Prime method
- Least Common Multiple of 367 and 371 with GCF Formula
LCM of 367 and 371 is 136157
Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 371. First we will calculate the prime factors of 367 and 371.
Prime Factorization of 367
| 367 | 367 |
| 1 |
Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:
367 = 3671
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 367 and 371.
LCM(367,371) = 71×531×3671
LCM(367,371) = 136157
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1, 367
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Least Common Multiple of 367 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 367 and 371, than apply into the LCM equation.
GCF(367,371) = 1
LCM(367,371) = ( 367 × 371) / 1
LCM(367,371) = 136157 / 1
LCM(367,371) = 136157
Properties of LCM 367 and 371
(i) The LCM of 371 and 367 is associative
LCM of 367 and 371 = LCM of 371 and 367
Related Least Common Multiples of 367
Related Least Common Multiples of 371
Frequently Asked Questions on LCM of 367 and 371
1. What is the LCM of 367 and 371?
Answer: LCM of 367 and 371 is 136157.
2. What are the Factors of 367?
Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.
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 367 and 371?
Answer:
Least Common Multiple of 367 and 371 = 136157
Step 1: Find the prime factorization of 367
367 = 367
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 = 136157 = 7 x 53 x 367
Step 4: Therefore, the least common multiple of 367 and 371 is 136157.