Least Common Multiple of 364 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 364 and 371 the smallest integer that is 19292 that is divisible by both numbers.
Least Common Multiple (LCM) of 364 and 371 is 19292.
LCM(364,371) = 19292
LCM of 364 and 371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 364 and 371 by Prime method
- Least Common Multiple of 364 and 371 with GCF Formula
LCM of 364 and 371 is 19292
Least common multiple can be found by multiplying the highest exponent prime factors of 364 and 371. First we will calculate the prime factors of 364 and 371.
Prime Factorization of 364
| 2 | 364 |
| 2 | 182 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 364 are 2, 7,13. Prime factorization of 364 in exponential form is:
364 = 22×71×131
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 364 and 371.
LCM(364,371) = 22×71×131×531
LCM(364,371) = 19292
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Least Common Multiple of 364 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 364 and 371, than apply into the LCM equation.
GCF(364,371) = 7
LCM(364,371) = ( 364 × 371) / 7
LCM(364,371) = 135044 / 7
LCM(364,371) = 19292
Properties of LCM 364 and 371
(i) The LCM of 371 and 364 is associative
LCM of 364 and 371 = LCM of 371 and 364
Related Least Common Multiples of 364
Related Least Common Multiples of 371
Frequently Asked Questions on LCM of 364 and 371
1. What is the LCM of 364 and 371?
Answer: LCM of 364 and 371 is 19292.
2. What are the Factors of 364?
Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.
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 364 and 371?
Answer:
Least Common Multiple of 364 and 371 = 19292
Step 1: Find the prime factorization of 364
364 = 2 x 2 x 7 x 13
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 = 19292 = 2 x 2 x 7 x 13 x 53
Step 4: Therefore, the least common multiple of 364 and 371 is 19292.