Least Common Multiple of 363 and 366

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 366 the smallest integer that is 44286 that is divisible by both numbers.

Least Common Multiple (LCM) of 363 and 366 is 44286.

LCM(363,366) = 44286

LCM of 363 and 366

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 363 and 366

LCM of 363 and 366 is 44286

Least common multiple can be found by multiplying the highest exponent prime factors of 363 and 366. First we will calculate the prime factors of 363 and 366.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 363 and 366.

LCM(363,366) = 21×31×112×611
LCM(363,366) = 44286

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Least Common Multiple of 363 and 366 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 366, than apply into the LCM equation.

GCF(363,366) = 3
LCM(363,366) = ( 363 × 366) / 3
LCM(363,366) = 132858 / 3
LCM(363,366) = 44286

Properties of LCM 363 and 366

(i) The LCM of 366 and 363 is associative

LCM of 363 and 366 = LCM of 366 and 363

Related Least Common Multiples of 363

Related Least Common Multiples of 366

Frequently Asked Questions on LCM of 363 and 366

1. What is the LCM of 363 and 366?

Answer: LCM of 363 and 366 is 44286.

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 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.

4. How to Find the LCM of 363 and 366?

Answer:

Least Common Multiple of 363 and 366 = 44286

Step 1: Find the prime factorization of 363

363 = 3 x 11 x 11

Step 2: Find the prime factorization of 366

366 = 2 x 3 x 61

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 44286 = 2 x 3 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 363 and 366 is 44286.