Least Common Multiple of 363 and 369

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 369 the smallest integer that is 44649 that is divisible by both numbers.

Least Common Multiple (LCM) of 363 and 369 is 44649.

LCM(363,369) = 44649

LCM of 363 and 369

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

LCM of:
and

Least Common Multiple of 363 and 369

LCM of 363 and 369 is 44649

Least common multiple can be found by multiplying the highest exponent prime factors of 363 and 369. First we will calculate the prime factors of 363 and 369.

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 369


3 369
3 123
41 41
1

Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:

369 = 32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 363 and 369.

LCM(363,369) = 32×112×411
LCM(363,369) = 44649

Factors of 363

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

1, 3, 11, 33, 121, 363

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Least Common Multiple of 363 and 369 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 369, than apply into the LCM equation.

GCF(363,369) = 3
LCM(363,369) = ( 363 × 369) / 3
LCM(363,369) = 133947 / 3
LCM(363,369) = 44649

Properties of LCM 363 and 369

(i) The LCM of 369 and 363 is associative

LCM of 363 and 369 = LCM of 369 and 363

Related Least Common Multiples of 363

Related Least Common Multiples of 369

Frequently Asked Questions on LCM of 363 and 369

1. What is the LCM of 363 and 369?

Answer: LCM of 363 and 369 is 44649.

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 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

4. How to Find the LCM of 363 and 369?

Answer:

Least Common Multiple of 363 and 369 = 44649

Step 1: Find the prime factorization of 363

363 = 3 x 11 x 11

Step 2: Find the prime factorization of 369

369 = 3 x 3 x 41

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

LCM = 44649 = 3 x 3 x 11 x 11 x 41

Step 4: Therefore, the least common multiple of 363 and 369 is 44649.