Least Common Multiple of 361 and 363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 361 and 363 the smallest integer that is 131043 that is divisible by both numbers.

Least Common Multiple (LCM) of 361 and 363 is 131043.

LCM(361,363) = 131043

LCM of 361 and 363

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

LCM of:
and

Least Common Multiple of 361 and 363

LCM of 361 and 363 is 131043

Least common multiple can be found by multiplying the highest exponent prime factors of 361 and 363. First we will calculate the prime factors of 361 and 363.

Prime Factorization of 361


19 361
19 19
1

Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:

361 = 192

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

Now multiplying the highest exponent prime factors to calculate the LCM of 361 and 363.

LCM(361,363) = 31×112×192
LCM(361,363) = 131043

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1, 19, 361

Factors of 363

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

1, 3, 11, 33, 121, 363

Least Common Multiple of 361 and 363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 361 and 363, than apply into the LCM equation.

GCF(361,363) = 1
LCM(361,363) = ( 361 × 363) / 1
LCM(361,363) = 131043 / 1
LCM(361,363) = 131043

Properties of LCM 361 and 363

(i) The LCM of 363 and 361 is associative

LCM of 361 and 363 = LCM of 363 and 361

Related Least Common Multiples of 361

Related Least Common Multiples of 363

Frequently Asked Questions on LCM of 361 and 363

1. What is the LCM of 361 and 363?

Answer: LCM of 361 and 363 is 131043.

2. What are the Factors of 361?

Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.

3. 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.

4. How to Find the LCM of 361 and 363?

Answer:

Least Common Multiple of 361 and 363 = 131043

Step 1: Find the prime factorization of 361

361 = 19 x 19

Step 2: Find the prime factorization of 363

363 = 3 x 11 x 11

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

LCM = 131043 = 3 x 11 x 11 x 19 x 19

Step 4: Therefore, the least common multiple of 361 and 363 is 131043.