Least Common Multiple of 366 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 366 and 371 the smallest integer that is 135786 that is divisible by both numbers.
Least Common Multiple (LCM) of 366 and 371 is 135786.
LCM(366,371) = 135786
LCM of 366 and 371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 366 and 371 by Prime method
- Least Common Multiple of 366 and 371 with GCF Formula
LCM of 366 and 371 is 135786
Least common multiple can be found by multiplying the highest exponent prime factors of 366 and 371. First we will calculate the prime factors of 366 and 371.
Prime Factorization of 366
| 2 | 366 |
| 3 | 183 |
| 61 | 61 |
| 1 |
Prime factors of 366 are 2, 3,61. Prime factorization of 366 in exponential form is:
366 = 21×31×611
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 366 and 371.
LCM(366,371) = 21×31×71×531×611
LCM(366,371) = 135786
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Least Common Multiple of 366 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 366 and 371, than apply into the LCM equation.
GCF(366,371) = 1
LCM(366,371) = ( 366 × 371) / 1
LCM(366,371) = 135786 / 1
LCM(366,371) = 135786
Properties of LCM 366 and 371
(i) The LCM of 371 and 366 is associative
LCM of 366 and 371 = LCM of 371 and 366
Related Least Common Multiples of 366
Related Least Common Multiples of 371
Frequently Asked Questions on LCM of 366 and 371
1. What is the LCM of 366 and 371?
Answer: LCM of 366 and 371 is 135786.
2. What are the Factors of 366?
Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.
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 366 and 371?
Answer:
Least Common Multiple of 366 and 371 = 135786
Step 1: Find the prime factorization of 366
366 = 2 x 3 x 61
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 = 135786 = 2 x 3 x 7 x 53 x 61
Step 4: Therefore, the least common multiple of 366 and 371 is 135786.
