Least Common Multiple of 366 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 366 and 369 the smallest integer that is 45018 that is divisible by both numbers.

Least Common Multiple (LCM) of 366 and 369 is 45018.

LCM(366,369) = 45018

LCM of 366 and 369

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

LCM of:
and

Least Common Multiple of 366 and 369

LCM of 366 and 369 is 45018

Least common multiple can be found by multiplying the highest exponent prime factors of 366 and 369. First we will calculate the prime factors of 366 and 369.

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

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 366 and 369.

LCM(366,369) = 21×32×411×611
LCM(366,369) = 45018

Factors of 366

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

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

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 366 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 366 and 369, than apply into the LCM equation.

GCF(366,369) = 3
LCM(366,369) = ( 366 × 369) / 3
LCM(366,369) = 135054 / 3
LCM(366,369) = 45018

Properties of LCM 366 and 369

(i) The LCM of 369 and 366 is associative

LCM of 366 and 369 = LCM of 369 and 366

Related Least Common Multiples of 366

Related Least Common Multiples of 369

Frequently Asked Questions on LCM of 366 and 369

1. What is the LCM of 366 and 369?

Answer: LCM of 366 and 369 is 45018.

2. 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.

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 366 and 369?

Answer:

Least Common Multiple of 366 and 369 = 45018

Step 1: Find the prime factorization of 366

366 = 2 x 3 x 61

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 = 45018 = 2 x 3 x 3 x 41 x 61

Step 4: Therefore, the least common multiple of 366 and 369 is 45018.