Least Common Multiple of 360 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 360 and 363 the smallest integer that is 43560 that is divisible by both numbers.

Least Common Multiple (LCM) of 360 and 363 is 43560.

LCM(360,363) = 43560

LCM of 360 and 363

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

LCM of:
and

Least Common Multiple of 360 and 363

LCM of 360 and 363 is 43560

Least common multiple can be found by multiplying the highest exponent prime factors of 360 and 363. First we will calculate the prime factors of 360 and 363.

Prime Factorization of 360


2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 360 are 2, 3,5. Prime factorization of 360 in exponential form is:

360 = 23×32×51

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 360 and 363.

LCM(360,363) = 23×32×51×112
LCM(360,363) = 43560

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 360 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 360 and 363, than apply into the LCM equation.

GCF(360,363) = 3
LCM(360,363) = ( 360 × 363) / 3
LCM(360,363) = 130680 / 3
LCM(360,363) = 43560

Properties of LCM 360 and 363

(i) The LCM of 363 and 360 is associative

LCM of 360 and 363 = LCM of 363 and 360

Related Least Common Multiples of 360

Related Least Common Multiples of 363

Frequently Asked Questions on LCM of 360 and 363

1. What is the LCM of 360 and 363?

Answer: LCM of 360 and 363 is 43560.

2. What are the Factors of 360?

Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.

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 360 and 363?

Answer:

Least Common Multiple of 360 and 363 = 43560

Step 1: Find the prime factorization of 360

360 = 2 x 2 x 2 x 3 x 3 x 5

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 = 43560 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 360 and 363 is 43560.