Least Common Multiple of 363 and 368

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 368 the smallest integer that is 133584 that is divisible by both numbers.

Least Common Multiple (LCM) of 363 and 368 is 133584.

LCM(363,368) = 133584

LCM of 363 and 368

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

LCM of:
and

Least Common Multiple of 363 and 368

LCM of 363 and 368 is 133584

Least common multiple can be found by multiplying the highest exponent prime factors of 363 and 368. First we will calculate the prime factors of 363 and 368.

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 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Now multiplying the highest exponent prime factors to calculate the LCM of 363 and 368.

LCM(363,368) = 24×31×112×231
LCM(363,368) = 133584

Factors of 363

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

1, 3, 11, 33, 121, 363

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Least Common Multiple of 363 and 368 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 368, than apply into the LCM equation.

GCF(363,368) = 1
LCM(363,368) = ( 363 × 368) / 1
LCM(363,368) = 133584 / 1
LCM(363,368) = 133584

Properties of LCM 363 and 368

(i) The LCM of 368 and 363 is associative

LCM of 363 and 368 = LCM of 368 and 363

Related Least Common Multiples of 363

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 363 and 368

1. What is the LCM of 363 and 368?

Answer: LCM of 363 and 368 is 133584.

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 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

4. How to Find the LCM of 363 and 368?

Answer:

Least Common Multiple of 363 and 368 = 133584

Step 1: Find the prime factorization of 363

363 = 3 x 11 x 11

Step 2: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

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

LCM = 133584 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 363 and 368 is 133584.