Least Common Multiple of 363 and 367
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 363 and 367 the smallest integer that is 133221 that is divisible by both numbers.
Least Common Multiple (LCM) of 363 and 367 is 133221.
LCM(363,367) = 133221
LCM of 363 and 367
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 363 and 367 by Prime method
- Least Common Multiple of 363 and 367 with GCF Formula
LCM of 363 and 367 is 133221
Least common multiple can be found by multiplying the highest exponent prime factors of 363 and 367. First we will calculate the prime factors of 363 and 367.
Prime Factorization of 363
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 363 are 3,11. Prime factorization of 363 in exponential form is:
363 = 31×112
Prime Factorization of 367
| 367 | 367 |
| 1 |
Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:
367 = 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 363 and 367.
LCM(363,367) = 31×112×3671
LCM(363,367) = 133221
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1, 367
Least Common Multiple of 363 and 367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 363 and 367, than apply into the LCM equation.
GCF(363,367) = 1
LCM(363,367) = ( 363 × 367) / 1
LCM(363,367) = 133221 / 1
LCM(363,367) = 133221
Properties of LCM 363 and 367
(i) The LCM of 367 and 363 is associative
LCM of 363 and 367 = LCM of 367 and 363
Related Least Common Multiples of 363
Related Least Common Multiples of 367
Frequently Asked Questions on LCM of 363 and 367
1. What is the LCM of 363 and 367?
Answer: LCM of 363 and 367 is 133221.
2. What are the Factors of 363?
Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.
3. 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.
4. How to Find the LCM of 363 and 367?
Answer:
Least Common Multiple of 363 and 367 = 133221
Step 1: Find the prime factorization of 363
363 = 3 x 11 x 11
Step 2: Find the prime factorization of 367
367 = 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 133221 = 3 x 11 x 11 x 367
Step 4: Therefore, the least common multiple of 363 and 367 is 133221.
